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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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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I've never worked with a problem like this before...
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 \( a_{19}=??\)
I got -5 for a19

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Oh! So a must not be the answer because a19 is supposed to equal -58
Yes, it is -5 for \(a_{19}\) of that formula while our \(a_{19} = -58\)
ok, test option b show me your understanding.
an = 896 - 53(n - 1) a19 = 896 - 53(19-1) a19=-58 B is my answer!
have to test \(a_{21}\) also, to make sure that you are not lucky when getting it.
Yes, i tested a21 and got 896 - 53(21-1) and it was -164
Bingo!! congrats
Thank you so much for helping me understand this! Really appreciate it!
np

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