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The 3rd term of an AP is 5 and the 7th term is 9. Which term of this AP is 25?

Class 10nth Term of an APAlgebra — Sequences

A23rd
B22nd
C24th
D21st

Step-by-Step Solution

a + 2 d = 5, a + 6 d = 9 \Rightarrow 4 d = 4 \Rightarrow d = 1, a = 3.25 = 3 + (n - 1) 1 \Rightarrow n - 1 = 22 \Rightarrow n = 23

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Answer: A) 23rd

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