MCQ
What is the common difference of an $AP$ in which $a_{18}-a_{14}=32 ?$
- ✓$8$
- B$-8$
- C$4$
- D$-4$
✓
Answer
Correct option: A.
$8$
Let a be the frist term and $d$ be the common difference.
$a_{18}-a_{14}=32 $
$\Rightarrow a + 17d - (a + 13d) = 32$
$\Rightarrow a + 17d - a - 13d = 32$
$\Rightarrow 4d = 32$
$\Rightarrow d = 8$
$a_{18}-a_{14}=32 $
$\Rightarrow a + 17d - (a + 13d) = 32$
$\Rightarrow a + 17d - a - 13d = 32$
$\Rightarrow 4d = 32$
$\Rightarrow d = 8$
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