Jambmaths question:
Find the common difference respectively of an A. P whose 4th term is 24 and the 11th 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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