Question

The largest coefficient in the expansion of (1 + x)³⁰ is ______.

Answer 1

The largest coefficient in the expansion of (1 + x)³⁰ is ³⁰C₁₅.

Explanation:

Here n = 30 which is even

∴ The largest coefficient in (1 + x)ⁿ = `""^n"C"_(n /2)`

So, the largest coefficient in (1 + x)³⁰ = ³⁰C₁₅

Hence, the value of the filler is ³⁰C₁₅.