Obtain the first four terms of ${{\left( 1-\frac{x}{2} \right)}^{8}}$ in ascending powers of $x$

Question

Obtain the first four terms of ${{\left( 1-\frac{x}{2} \right)}^{8}}$ in ascending powers of $x$. Hence, find the coefficient of ${{x}^{3}}$ in $(2+3x){{\left( 1-\frac{x}{2} \right)}^{8}}$.

Accepted Answer

First four terms: $1-4x+7x^2-7x^3$ Coefficient of $x^3$: $7$

Binomial Theorem - Binomial Expansion for Positive Integer Powers

Binomial Theorem - Binomial Expansion for Positive Integer Powers

Video Solution:

Solution:

Solution locked