The first term of an AP. of consecutive ...

The first term of an AP. of consecutive integer is `p^2 + 1.` The sum of `(2p + 1)` terms of this series can be expressed as

A

`(p+1)^2`

B

`(2p+1)(p+1)^2`.

C

`(p+1)^3`

D

`p^3+(p+1)^3`.

Text Solution

Verified by Experts

The correct Answer is:

D

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Knowledge Check

The sum of first p terms of an A.P. is q and the sum of the first q terms is p. The sum of the first (p + q) terms is

A

p + q

B

0

C

`- (p + q)`

D

`-2 (p + q)`

The first term of an A.P. is 3.The sum of first 25 terms is equal to the sum of next 15 terms.Find the common difference of the A.P.

A

`1/4`

B

`1/6`

C

`1/9`

D

`1/2`

In an A.P, the first term is 1 and sum of the first p terms is 0, then sum of the first (p + q) terms is

A

`(q(p+q))/(1-p)`

B

`(q)/(1-p)`

C

`((p+q)p)/(1-p)`

D

`(2(p+q))/(1-p)`

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