Let a_ n _ n=0 ^ be a sequence such that a_ 0 = a_ 1 = 0 and a_ n+2 = 2a_ n+1 - a_ n + 1 for all n 0. Then _ n=2 ^ a_ n /7^ n is equal to :

JEE Main 2022 Mathematics question

Let be a sequence such that and for all . Then is equal to :

Answer: (2)

The recurrence gives , , , , …, i.e. − 1)/2 = .

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-035327