If n?? term of an AP is given by a? = 2n + 3, then find

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Solution

Q.
Your friend Veer wants to participate in a 200 m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less. He wants to complete the race in 31 seconds.

Based on the above information answer the following question:

(iii) (a) If nth term of an AP is given by $a ₙ = 2 n + 3$ , then find the common difference of the AP.

1 1

2 2

3 5

4 4

Ans.
(2)

$G i v e n, a ₙ = 2 n + 3 \Rightarrow a ₙ ₋ ₁ = 2 (n - 1) + 3 = 2 n + 1 ∴ d = a ₙ - a ₙ ₋ ₁ = (2 n + 3) - (2 n + 1) = 2$

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