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For what value of n are the nth terms of the two APs 63, 65, 67, ... and 3, 10, 17, ... equal?

Class 10nth Term of an APAlgebra — Sequences

A13
B12
C14
D11

Step-by-Step Solution

First AP nth term:

63 + (n - 1) 2 = 61 + 2 n

. Second:

3 + (n - 1) 7 = 7 n - 4

. Set equal:

61 + 2 n = 7 n - 4 \Rightarrow 65 = 5 n \Rightarrow n = 13

.

Answer: A) 13

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