Monday, August 27, 2007

#1.6 again

if you did not finish this from the other evening b/c you did not understand it, please be sure you complete it tonight

EXTRA SPICY NTH TERM PRACTICE PROBLEMS
Find the value of the 50th term of the following sequences:
1. 2, 9, 20, 35, 54, 77
2. 0, 3, 8, 15, 24, 35
3. 4, 10, 18, 28, 40, 54
4. 6, 21, 40, 63, 90, 121
5. -3, 8, 25, 48, 77, 112
6. 6, 25, 56, 99, 154, 221
7. 5, 40/3, 77/3, 42, 187/3
8. -10, -6, 0, 8, 18
9. 3, 1, 0,0, 1, 3, 6

Find the next term:
10. 4, -8, 16, -32, 64
11. 18, -3, -6, 1/2, -12, -1/24

Find the sum of the:

12. first 90 even integers.
13. first 85 odd integers.
14. 150 consecutive integers.
15. 55 + 56+ 57+...+240=?
16. 66+68+70+...+248=?
17. 71+73+75+...+153=?
18. 1+2+3+...+917=?
19. 555+556+557+...+900=?
20. 1+3+5+...+559=?
21. 333+335+337+...763=?
22. 2+4+6+...+1672=?
23. 444+446+448+...+888=?

You MUST either:

post a question
post an answer

for credit this evening (this means you should probably have a display name that shows your first initial and last name) No full names please. Too many wackos out there.
Have fun!

77 comments:

  1. How do you find the constant difference for number 9?

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  2. how do you guys do even integer??

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  3. 12. Sum of the first 80 even integers.

    80 (80 + 1) = 6480

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  4. you do even integers with...n(n+1)

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  5. 22. 2+4+6+...+1672=?

    1672(1672 + 1)
    1672(1673)

    =2797256

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  6. niiiiiiiiiiice.....

    me likes it alot

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  7. tnguyen,

    the sum of the first n even integers is calucated by using n(n+1). therefore, the sum of teh first 20 even integers is 20 (20+1) or 20(21) =420

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  8. Why do u need to subtract 1 when u r trying to get even intergers?

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  9. thanks,
    I got very confuse at nunber 3 and 4 on the extra spicy questions??

    help anyone!!

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  10. This comment has been removed by the author.

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  11. #3:

    _1__ 2__ 3__ 4__ 5__ 6__
    4 10 18 28 40 54

    then you factor which results with
    4*1 5*2 6*3 7*4 8*5
    then the nth term is:
    n(n+3)
    50(50+3)
    50(53)
    2650

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  12. This comment has been removed by the author.

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  13. 7) find the 50th term
    5, 40/3, 77/3, 42, 187/3

    n is 2n+1(3n+2)/3

    Answer: 84

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  14. yeah for tnguyen,
    all you do is factor the numbers, then you will find the pattern "2n" fot the first set of numbers then just "n" for the second then just make them fit with the pattern in the factored numbers

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  15. 7) find the 50th term
    5, 40/3, 77/3, 42, 187/3

    2n+1(3n+2)/3 = 84

    84 is the 50th term

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  16. how do you get #5 in the pre-test?

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  17. even : n(n+1)

    consecutive: n(n+1) divided by 2

    odd : n squared

    i'm pretty much only confused about #9

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  18. Maria93
    453 .... +789
    451/2 = 226 (square root)
    789/2 = 395 (")

    156025-51076
    =104949

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  19. thx...lol i subtracted wrong...

    how do u do # 8 in the pre-test?

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  20. the rule for even integers is: n(n+1)
    the rule for odd integers: N squared

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  21. 15. 150 consecutive integers?

    150(150+1)/2=

    150(151)= 22,650

    I don't understand the homework assignment do you do all the problems or just 1 problem?

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  22. how do u do #11 on the pre-test?

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  23. on wat? the pretest or the spicy problems?

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  24. For me the spicy problems do you do all of them or one on the computer?

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  25. idk.... im gonna try to do them all

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  26. can any1 help me with 8, and 11
    cause im connnfused on those two

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  27. For number two on the spicy problem do you double it?

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  28. you find the sum of consecutive integers by using the formula
    n(n+1)/2

    LohnD

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  29. I need help with 5 6 8 9 and 11

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  30. Thnx Tnguyen....

    What about #4?
    I tried doubleing it and it didnt work and then i tried to factor it amd it didnt work!!!!!!!! AHHH!!!

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  31. yea i need help with 8 9 and 11 on the spicy problems im so confused 4 some reason

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  32. #11 please help? thx

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  33. Is this quiz 2mm?
    I heard friday but ppl are telling me 2mm?
    Im confuzzlied?

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  34. For number nine, you just have to find the first difference and then find the difference of the differences and find the N value...and then just plug 50 into it.

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  35. i need help with #10
    and 2 answer ur question cera the quiz is on friday

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  36. the quiz is friday but i didnt get number 4 either.
    i guess eveyrbody is suck on the smae problem number 4 5 6 8 9 11

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  37. tennis_player_pedro
    for number 9
    just find the difference of the numbers. Then you have to find the differences of those numbers and then just factor the values
    remeber thats how you know what the N value is because you use the two-different colored numbers to find the relationship between the term and the factors of the values..
    And then just plug 50in for N

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  38. Bryan a.k.a fell in a well
    the pattern is you take the number and multiply it by -2. 64 x -2 is the answer

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  39. HOW DO U DO #11?!!!!!!!!!!!!!!

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  40. 13) Sum of First 85 odd integers.

    85²
    85(85) = 7225

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  41. I AGREE WITH PEDRO!!!

    VOTE 4 PEDRO!!!

    :)

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  42. Vanessa Pulgar

    Find the sum of the first 90 integers:

    90(90+1)= 819,000

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  43. hehe, i wrote my thingy wrong!

    "Find the sum of the first 90 EVEN integers!"

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  44. number 9 is one of my most favorite problems. spicy.... yes. it is very nice indeed.

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  45. #11 is easier than you think, cera. think outside the box.

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  46. nice job on the comments tonight you guys! keep it up!

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  47. hint for #11.... begin factoring after the zeros!

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  48. I'm confused on #4 of the spicy questions. How do i find wat number to add or subtract by?

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  49. j. blackwell,

    find the differences between the numbers first. then, look for a pattern....

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  50. don't forget everyone!!!

    chen will be in the library tomorrow morning around 7ish for anyo9ne who wants tutoring!

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  51. HelloOo..
    iM LoSt oN 5, 8,n 11,

    AND #9 how do u get the
    difference??
    Agh!

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  52. hint for #4, #5, and #8:

    find the differences between the numbers first. then look for a pattern between the differences.

    #11: LOOK at the numbers. SEE a pattern!

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  53. i still dont get it!
    when we have to make 2 term & value charts. when we factor. to get the 2nd part.. do we multiply to -- get the green [ or w/e colored ] FACTORED number?. or original number?


    -- chaunte<3 period 4!

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  54. #10)

    number 10 seems to be going in a pattern. just take out the negatives first and work it out from there

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  55. 14.
    150(150+1)/2
    150(151)/2
    150(151)=22650
    22650/2=11,325

    Sorry about the mistake.

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  56. ...Wooowwies. I still remember my password. Ah-whiicka-wiicka-whaat!


    Heeey, everybody. XD

    'Tis Mary! I just wanted to give a shout-out so you know who I am. I'm a Sophomore, a Chan-Survivor, and a corny-joke and chocolate o'holic. I like long walks on the beach--

    ...Kidding! XD Ahahaha! It's wonderful to see that the blog's actually being used. You guys should feel lucky Ms.Chan sets these babies up--they do have a reason, you know. Imagine how much easier classes would be if every teacher gave you the opportunity to discuss homework after school.

    ...Ooh, and about number eleven. *grin* Don't worry, I feel your pain. Or at least I did until two minutes ago--*laugh!* I just had an epiphany.

    For anyone still struggling, don't stress yourself out on that one little problem. Trust me. Once you figure it out, you'll smack yourself on the forehead.

    If you need a clue or two about number eleven, even though Ms. Chan told you what you needed to know, just comment while I'm still procrastinating on Chemistry and Spanish homework. *snerk* XD I'd be happy to give you some advice.

    If not, come stalk Chen and I at the library tomorrow! :D I'll beee there, too! Goodnight, everyone. Rest well.

    Sincerely,
    --Mary.

    P.S. Hiiii, Ms. Chan! *hughug* Chen just gave me a call about a half-hour ago. I'm sorry I didn't know about the tutoring sessions sooner. I'll see you soon! I looove yoooou~. XD

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  57. for numbers 5 and 8

    how do you get rid of the negatives?

    #9

    i dont understand how to set up

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  58. This comment has been removed by the author.

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  59. for william..
    double the 3,1,o,0,1,3
    than factor it.
    find the rule.

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  60. nice job, saxelrod. good explanation.

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  61. mary mary quite contrary! so good to see you visiting the blog! i'm sooooo glad to hear that you will be at tutoring tomorrow! the kids don't know how lucky they are to have both you and chen!

    i'm glad you had the epiphany for #11. it is quite easy if you just stop concentrating so hard.... i have taught you well, young jedi. lol. i crack myself up.

    have a great night y'all!

    i love you, too, mary mary quite contrary! miss you lots. come visit whenever you'd like.

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  62. Hey, Sean.

    If you're still awake, here's a little hint for you. C: I'm sorry I took so long [I decided to stop procrastinating].

    how do you get rid of the negatives?

    I think you've got your goal mixed up a bit there. You're not trying to get rid of the negatives. There is a pattern within the terms--having negatives are perfectly acceptable, so you don't have to kick them to the curb. XD It's just finding the pattern that's a doozey.

    The first thing I suggest is to, for example, in number five, start factoring before the negative number. And in number eight and nine, start factoring after the negative integers and zero. If you can figure out the rest of the pattern, you can figure out those last few as well. :D

    Let's do a problem together?

    I see a lot of people are frustrated with number nine.

    ...If you want to talk about it, come to tutoring tomorrow. >:D Now, now, I'm not trying to be mean, but hey. You'll feel better once you figure it out for yourself. [[Saxelrod is on the right track, though. *high-five!*]]

    So number five, yes?

    Number Five:

    | 1 | 2 | 3 | 4 | 5 | 6 |
    |-3 | 8 |25 |48 |77 |112|

    Factor out these lovelies. Start from number eight if you can't figure out negative-three off the bat.

    Let's see, factors for eight.

    Well, y'got 1x8. 2x4. Anything else besides -1x-8, -2x-4, mixed and matched hubblah-blubblah? No? Well, tallyho!

    Now for twenty-five. 1x25. You also have 5x5.

    Forty-eight: 1x48, 2x24, 3x16, 4x12, 8x6...woahwoah! Wait. Check it out!

    8: 2x4
    25: 5x5
    48: 8x6

    The italicized factors have a difference of three. The bold have a difference of one. Eeeeh? XD Enough information to blaze through number five, right? So go on and find the pattern for the rest of the terms, get your nth term rule, and find the fiftieth term. :D

    To add on to Saxelrod, yes. Everyone, you will have to double the factors, so don't forget to divide your rule over two in the end. XD

    Sincerely,
    --Mary.

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  63. mary, you rock! nobody could really explain a problem with as much enthusiasm and throughness as you. you'd make a great teacher....

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  64. How do u find the nth term of the folloing values ;-3 8 15 24 and 35?????

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