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Babynini

  • one year ago

A partial sum of an arithmetic sequence is given. Find the sum. 10 over sigma k=0 under sigma. (3+0.25k) beside sigma

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  1. Babynini
    • one year ago
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    \[\Sigma (3+0.25k)\] with 10 on top and k=0 under the sigma

  2. Babynini
    • one year ago
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    @freckles have time? :)

  3. Babynini
    • one year ago
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    @zepdrix

  4. Babynini
    • one year ago
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    would the first step be to solve for k? how do I do that? o.o

  5. Babynini
    • one year ago
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    @peachpi

  6. anonymous
    • one year ago
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    |dw:1434069542255:dw|

  7. anonymous
    • one year ago
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    Start by plugging in 0 for k to solve for a0, then plug in 10 to find a10

  8. Babynini
    • one year ago
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    oo not sn=(n/2)(a1+an) ?

  9. anonymous
    • one year ago
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    no. Generally use a1 for the sum of the first n terms, but they started this one at 0

  10. Babynini
    • one year ago
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    ah yes I see. ok.

  11. Babynini
    • one year ago
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    so plug in 0 for k in 3+0.25k ? then a0 would be = 3

  12. anonymous
    • one year ago
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    yes

  13. Babynini
    • one year ago
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    Where do I plug the 10 in?

  14. anonymous
    • one year ago
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    into the same formula

  15. Babynini
    • one year ago
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    for k? = 5.5

  16. anonymous
    • one year ago
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    yes

  17. Babynini
    • one year ago
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    and that is what a_10 equals?

  18. anonymous
    • one year ago
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    right

  19. anonymous
    • one year ago
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    and n = 11

  20. Babynini
    • one year ago
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    how'd you find that? o.o

  21. anonymous
    • one year ago
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    10-0+1

  22. Babynini
    • one year ago
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    ..hah ok. so then the whole thing equals 46.75

  23. anonymous
    • one year ago
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    basically there are 11 numbers from 0 to 10 inclusive

  24. anonymous
    • one year ago
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    that's right

  25. Babynini
    • one year ago
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    ah gotcha. That makes more sense.

  26. Babynini
    • one year ago
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    yay!! thanks :)

  27. anonymous
    • one year ago
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    you're welcome

  28. Babynini
    • one year ago
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    n represents how many numbers there are in total then.

  29. anonymous
    • one year ago
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    yes it does

  30. Babynini
    • one year ago
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    okies. :)

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