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The nature of the S(n)=3n^(2)+5n series ...

The nature of the `S_(n)=3n^(2)+5n` series is

A

AP

B

GP

C

HP

D

AGP

Text Solution

Verified by Experts

The correct Answer is:
A
`:. S_(n)=3n^(2)+5n`
`:. T_(n)=S_(n)-S_(n-1)`
`=(3n^(2)+5n)-[3(n-1)^(2)+5(n-1)]`
`=3(2n-1)+5=6n+2`
The nth term is a linear function in n. Hence, sequence must be an AP.
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