MCQ
Find how many terms are there in the $A.P.\ 16,24,32, \ldots \ldots, 96$.
- A$10$
- ✓$11$
- C$12$
- D$14$
✓
Answer
Correct option: B.
$11$
Here $a=16, d=24-16=8$ and last term $=96$.
$\Rightarrow l=96$
$\Rightarrow a+(n-1) d=96$
$\Rightarrow 16+(n-1) 8=96$
$\Rightarrow (n-1) 8=80$
$\Rightarrow n-1=10$
$\Rightarrow n=11$
So there are $11$ terms in the $A.P.$
$\Rightarrow l=96$
$\Rightarrow a+(n-1) d=96$
$\Rightarrow 16+(n-1) 8=96$
$\Rightarrow (n-1) 8=80$
$\Rightarrow n-1=10$
$\Rightarrow n=11$
So there are $11$ terms in the $A.P.$
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