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Given a sequence t1 , t2 ,..... if its p...

Given a sequence `t_1 , t_2 ,.....` if its possible to find a function f(r) such that `t_r = f(r + 1) - f(r)`
then `sum_(r = 1)^n t_r = f(n + 1) - f(1)`
Sum of the `sum_(r = 1)^n r(r + 3)(r + 6)` is

A

1/3 n(n + 3)(n + 9)

B

`n^4 + 7n^2 + 20n`

C

1/4 n(n+3)(n+5)(n+9)

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
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