JUPEBMathematicsSequences and Series

Which term of the arithmetic progression $5, 9, 13, 17, \ldots$ is equal to 101?

A$24$th
B$26$th
C$25$thCORRECT
D$20$th
AI
Toaster Teacher
Why the answer is C, and why the others tempt you.
The $n$th term is $5 + 4(n - 1)$. Setting this equal to 101: $4(n - 1) = 96$, so $n - 1 = 24$ and $n = 25$. Forgetting to add 1 after dividing gives the 24th term, which is actually 97.
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