Question

If the n^th  term of the AP is 2n + 7, then the common difference will be _____

(a) -2

(b) 2

(c) 3

(d) -3

This question was posed to me by my college director while I was bunking the class.

This question is from Nth Term of Arithmetic Progression in division Arithmetic Progressions of Mathematics – Class 10

Answer 1

Right option is (b) 2

To elaborate: n^th term of the AP is 2n + 7

Tn = 2n + 7

Common difference = T2 – T1 = (2 × 2 + 7 – (2 × 1 + 7)) = 11 – 9 = 2