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Which term of an AP : 21, 42, 63, 84, … ...

Which term of an AP : 21, 42, 63, 84, … is 210 ?

A

9th

B

10th

C

11th

D

12th

Text Solution

Verified by Experts

The correct Answer is:
B
Let nth term of the given AP be 210.
Here, first term, ` a=21`
and common difference, `d=42-21=21` and `a_(n)=210`
` :' a_(n)=a+(n-1)d`
`implies 210=21+(n-1)21`
` implies 210=21+21n-21`
` implies 210=21n implies n=10`
Hence, the 10th term of an AP is 210.
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