MCQ
The common difference of an $A.P$. in which $a_{18}- a_{14}= 32$ is :
- A$6$
- B$-6$
- C$-8$
- ✓$8$
✓
Answer
Correct option: D.
$8$
Given : $a_{18}- a_{14}= 32$
$\Rightarrow a + (18 - 1)d - [a + (14 - 1)d] = 32$
$\Rightarrow a + 17d - a - 13d = 32$
$\Rightarrow 4d = 32$
$\Rightarrow d = 8$
$\Rightarrow a + (18 - 1)d - [a + (14 - 1)d] = 32$
$\Rightarrow a + 17d - a - 13d = 32$
$\Rightarrow 4d = 32$
$\Rightarrow d = 8$
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