If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of (1 + x)n + 5 are in the ratio 5 : 10 : 14, then theIargest coefficient in this expansion is

# If for some positive integer n, the coefficients of three consecutive terms in the binomial expansion of (1 + x)n + 5 are in the ratio 5 : 10 : 14, then theIargest coefficient in this expansion is

1. A

330

2. B

462

3. C

792

4. D

252

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### Solution:

Let the three consecutive terms in the binomial expansion of $\left(1+\mathrm{x}{\right)}^{\mathrm{n}+5}$ are

Now, according to the given information

From Eqs. (i) and (ii), we have n =6.
So, the largest coefficient in the expansion is same as

the greatest binomial coefficient

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