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anonymous

  • one year ago

Would someone mind helping me with this quick precalc question? I have no idea how to solve this! Find an equation for the nth term of the arithmetic sequence. a19 = -58, a21 = -164 Here are my choices: an = 896 - 53(n - 2) an = 896 - 53(n - 1) an = 896 + 53(n + 1) an = 896 - 53(n + 1)

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  1. anonymous
    • one year ago
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    I've never worked with a problem like this before...

  2. Loser66
    • one year ago
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    for option a) we test like: \(a_\color{red}{n}= 896-53 (\color{red}{n}-2)\) \(a_\color{red}{19} = 896 -53(\color{red}{19}-2)\) You calculate \( a_{19}=??\)

  3. anonymous
    • one year ago
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    I got -5 for a19

  4. anonymous
    • one year ago
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    Oh! So a must not be the answer because a19 is supposed to equal -58

  5. Loser66
    • one year ago
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    Yes, it is -5 for \(a_{19}\) of that formula while our \(a_{19} = -58\)

  6. Loser66
    • one year ago
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    ok, test option b show me your understanding.

  7. anonymous
    • one year ago
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    an = 896 - 53(n - 1) a19 = 896 - 53(19-1) a19=-58 B is my answer!

  8. Loser66
    • one year ago
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    have to test \(a_{21}\) also, to make sure that you are not lucky when getting it.

  9. anonymous
    • one year ago
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    Yes, i tested a21 and got 896 - 53(21-1) and it was -164

  10. Loser66
    • one year ago
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    Bingo!! congrats

  11. anonymous
    • one year ago
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    Thank you so much for helping me understand this! Really appreciate it!

  12. Loser66
    • one year ago
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    np

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