turkey-yks 2021 Q16

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

Let $n$ be a natural number. Given that the arithmetic mean of all coefficients in the expansion of
$$\left( x ^ { 3 } - \frac { 2 } { x ^ { 2 } } \right) ^ { n }$$
is 0.2, what is the coefficient of the $x ^ { 2 }$ term in this expansion?
A) 12
B) 16
C) 24
D) 32
E) 40

Let $n$ be a natural number. Given that the arithmetic mean of all coefficients in the expansion of

$$\left( x ^ { 3 } - \frac { 2 } { x ^ { 2 } } \right) ^ { n }$$

is 0.2, what is the coefficient of the $x ^ { 2 }$ term in this expansion?\\
A) 12\\
B) 16\\
C) 24\\
D) 32\\
E) 40

Paper Questions

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