GMAT Binomial Theorem — practice questions
14 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice GMAT Binomial Theorem in the app →By the Binomial Theorem, the expansion of $(a+b)^n$ for positive integer $n$ isThe sum of all binomial coefficients in the expansion of $(1+x)^n$ isThe $(r+1)^\text{th}$ term (the GENERAL term) in the expansion of $(a+b)^n$ isFind the coefficient of $x^7$ in the expansion of $(1+x)^{11}$.The MIDDLE TERM in the expansion of $(a+b)^{2n}$ (where the power is EVEN) isUse the binomial theorem to compute $(101)^4$.Find the term INDEPENDENT of $x$ in the expansion of $\left(x^2 + \dfrac{3}{x}\right)^6$.How many terms are in the expansion of $(a + b)^{15}$?The coefficient of $x^4$ in the expansion of $(1 + 2x)^6$ isThe expansion of $(1+x)^n$ at $x = -1$ gives the valueIf the coefficient of $x^r$ in $(1 + x)^n$ equals the coefficient of $x^{r+2}$ in the same expansion, thenPascal's triangle row 6 (corresponding to $(a+b)^6$) isFind the value of $ um_{r=0}^{10} \binom{10}{r}\cdot 3^r$.How many terms are in the expansion of $(a + b + c)^4$?