In the sequence a1,a2,a3,…, an, an=an−1+1 : Crackverbal Support

In the sequence a1,a2,a3,…, an, an=an−1+1 Print

Modified on: Tue, 12 Oct, 2021 at 12:58 PM

Concept: The question tests on applications of Sequences

Solution:

Given a1 = b and an=a _n−1+1

a2 = a1 + 1 = b + 1

a3 = a2 + 1 = (b + 1) + 1 = b + 2

a4 = (b + 2) + 1 = b + 3

So a _n=b+(n−1)

a10 = b + 9 and a7 = b + 6

(a10−a7)^2=(a10+a7)(a10−a7)

= (b + 9 + b + 6)(b + 9 - b - 6) = (2b + 15)(3)

= 6b + 45

Option B

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In the sequence a1,a2,a3,…, an, an=an−1+1 Print

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