Home
Class 12
MATHS
If the sum of n terms of an A.P. is give...

If the sum of `n` terms of an A.P. is given by `S_n=a+b n+c n^2, w h e r ea ,b ,c` are independent of `n ,t h e n` `a=0` common difference of A.P. must be `2b` common difference of A.P. must be `2c` first term of A.P. is `b+c`

A

2a

B

2b

C

2c

D

4a

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the sum of n terms of an A.P.is given by S_(n)=a+bn+cn^(2), wherea,b,c are independent of n, then (a) a=0 (b) common difference of A.P.must be 2b(c) common difference of A.P.must be 2c(d) first term of A.P.is b+c

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

If S_(n) the sum of first n terms of an A.P. is given by Sn = 3n^(2) - 4n , find the nth term.

If the sum of n terms of an A.P is 2n+3n^(2) , find the r^(th) term

If the sum of first n terms of an A.P. is 3n^(2)-2n , then its 19th term is

If the sum of first n terms of an A.P. is given by S=3n^(2)+4n. Determine the A.P. and the n^(th) term.

If the sum of n terms of an A.P is (4n^(2)-3n)/(4) then ,n^(th) term of the A.P

If the sum of first n terms of an A.P. is an^(2) + bn and n^(th) term is An + B then