# Question 40

Jambmaths question:

Find the common difference respectively of an A. P whose 4^{th} term is 24 and the 11^{th} term is 52.

Option A:

4

Option B:

3

Option C:

14

Option D:

12

Jamb Maths Solution:

$\begin{align} & \text{The }nth\text{ term of A}\text{.P is given as} \\ & {{T}_{n}}=a+(n-1)d \\ & 4th-term \\ & a+3d=24---(i) \\ & 11th-term \\ & a+10d=52---(ii) \\ & \text{Subtract (i) from ii)} \\ & 7d=28 \\ & d=4 \\ & \text{The common difference is 4} \\\end{align}$

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