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If a, b and c are three consecutive coef...

If a, b and c are three consecutive coefficients terms in the expansion of `(1+x)^n` , then find n.

A

`(ac+ab+bc)/(b^(2)+ac)`

B

`(2ac+ab+bc)/(b^(2) - ac)`

C

`(ab+ac)/(b^(2) - ac)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `a = .^(n)C_(r) , b = .^(n)C_(r+1)` and `c = .^(n)C_(r+2)`.
Put `n = 2,r = 0` , then option (2) holds the condition, i.e,
`n = (2ac+ab+bc)/(b^(2)-ac)`
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