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If the sum of n terms of an AP is given ...

If the sum of `n` terms of an AP is given By `S_(n)=3n+2n^(2)` ,then the common difference of the AP is

A

3

B

2

C

6

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Given ` 1S_(n) = 3n+2n^(2)`
first term of the AP .
`T_(1) =3xx1+2(1)^(2)=3+2=5`
and `T_(1) ==s_(2)-S_(1)`
`=[3xx2+2xx(2)^(2)]-[3xx1+2xx(1)^(2) ]`
` =14-5=9`
`therefore ` Common difference `(d)=T_(2)-t_(1)=9-5=4`
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