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

Question

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

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

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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)`

5 views Answered 2023-02-05 15:29