Find the term indicated in the expansion.
-$( 3 \mathrm { x } + 2 ) ^ { 5 }$; 5 th term
A) $240 \mathrm { x }$
B) $360 x ^ { 2 }$
C) 160
D) $120 \mathrm { x }$

Question

Quizplus · Accepted Answer

The 5th term in the expansion of $(3x + 2)^5$ can be found using the binomial theorem formula for the $n$th term: $T_{k+1} = \binom{n}{k} a^{n-k} b^k$, where $n=5$ and $k=4$ for the 5th term. Thus, $T_5 = \binom{5}{4} (3x)^{1} (2)^{4} = 5 \cdot 3x \cdot 16 = 240x$.

Find the Term Indicated in the Expansion (3x+2)5( 3 \mathrm { x } + 2 ) ^ { 5 }(3x+2)5

Find the Term Indicated in the Expansion $( 3 \mathrm { x } + 2 ) ^ { 5 }$