turkey-yks 2025 Q14

turkey-yks · Other · yks-ayt Binomial Theorem (positive integer n) Determine Parameters from Conditions on Coefficients or Terms

Let $n$ be a positive integer. In the expansion of
$$\left(x^{2} + x\right)^{n}$$
both the coefficient of the term containing $x^{19-n}$ and the coefficient of the term containing $x^{16-n}$ equal a positive integer $k$. Accordingly, what is $k$?
A) 6 B) 12 C) 15 D) 18 E) 21

Let $n$ be a positive integer. In the expansion of

$$\left(x^{2} + x\right)^{n}$$

both the coefficient of the term containing $x^{19-n}$ and the coefficient of the term containing $x^{16-n}$ equal a positive integer $k$.
Accordingly, what is $k$?

A) 6
B) 12
C) 15
D) 18
E) 21

Paper Questions

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