Gate2017 ss Q56
0. If the ordinary generating function of a sequence
, then a3 - a0 is equal to _____.
- Option : A
- Explanation :
= (1+Z) (1+3Z + 6Z2 + 10Z3 +……….∞)
Using binomial theorem
= 1 + 4Z + 9Z2 + 16Z3 + …… ∞………(2)
From (1) and (2), a0 = 1 and a3 = 16
∴ a3 – a0 = 15
