The coefficient of $x^3$ in $ (1 + 2x)^n$ is $4480$. Find $n$. Show that there is only one p

Question

The coefficient of $x^3$ in $ (1 + 2x)^n$ is $4480$. Find $n$. Show that there is only one possible value. Hint: This requires solving $ \binom{n}{3} 2^3 = 4480$

Accepted Answer

(a) $n=16$ (b) The coefficient is strictly increasing for integers $n\ge3$.

Binomial Theorem - Finding Parameters in Binomial Expansions

Binomial Theorem - Finding Parameters in Binomial Expansions

Solution:

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