The coefficient of $$\(\frac{1}{x}\)$$ in the expansion of $$\(\left(2 x+\frac{a}{x^{2}}\right)^{5}\)$$ is 720 . Hence find the coefficient of $$\(\frac{1}{x^{7}}\)$$ in the expansion. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_m20_qp_12 Year:2020 Question No:6(b)

Answer:

\[
5 \mathrm{C} 4[2(x)]\left[\frac{\text { their } a}{\left(x^{2}\right)}\right]^{4}
\]

810 identified

Knowledge points:

1.6.1 use the expansion of , where is a positive integer (Including the notations and n!) (Knowledge of the greatest term and properties of the coefficients are not required.)

Solution:

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