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Babynini

  • one year ago

The 20th term of an arithmetic sequence is 101, and the common difference is 3. Find a formula for the nth term.

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  1. Babynini
    • one year ago
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    @ganeshie8 are you free? :)

  2. Babynini
    • one year ago
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    hrm, from the info given I have a_20=a+(20-1)d a_20=a+(19)*3 a_20=a+57 yeah?

  3. Babynini
    • one year ago
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    @jim_thompson5910 :)

  4. Babynini
    • one year ago
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    we know a_20 so it comes to 101=a+19(3) a=44 so the formula for the nth term will be a_n=44+(n-1)(3) ?

  5. jtvatsim
    • one year ago
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    You've put a lot of work into this already, so let's test your equation to verify it.

  6. jtvatsim
    • one year ago
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    Testing a_20 seems like a good idea. Do we get the right answer?

  7. jtvatsim
    • one year ago
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    And.... we do!

  8. jtvatsim
    • one year ago
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    Looks like you've got it. Congrats!

  9. Babynini
    • one year ago
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    yay! :)

  10. Babynini
    • one year ago
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    thanks for checking ^-^ (how did you test a_20?)

  11. jtvatsim
    • one year ago
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    Just plugged in n = 20.

  12. jtvatsim
    • one year ago
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    I hoped it would be 101 as the answer, and it was.

  13. Babynini
    • one year ago
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    oh haha I see. Fabulous.

  14. jtvatsim
    • one year ago
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    Of course, I needed to see that n = 1 gave me 44 as claimed, but that was kind of obvious since that's what you built the formula to do. :)

  15. Babynini
    • one year ago
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    Indeed :P

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