Class 11

Math

Algebra

Binomial Theorem

Find the third term of the expansion of $(z_{2}+z1 3z )_{n}$, if the sum of all the binomial coefficients is equal to 2048.

$(2)_{n}=2048⟹2_{n}=2_{11}⟹n=11$

Third term is $_{11}C_{2}(z_{2})_{9}(z1 3z )_{2}$

$=55z_{16−32}$

$=55z_{346}$