Question

The ${11}^{th}and{13}^{th}$ terms of an AP are 35 and 41 respectively, its common difference is:

• A. 38
• B. 32
• C. 6
• D. 3

Answer 1

The correct option is D 3

The formula for $n^{th}$ term is

$T_n=a+(n-1)d$

${11}^{th}$ term

a + 10d = 35...(1)

${13}^{th}$ term

a + 12d = 41...(2)

Solving equations (1) and (2) we get,

d = 3