Home › JEE Main › mathematics › Binomial Theorem › The coefficient of $x$ in the expansion of $(1+2…
The coefficient of $x$ in the expansion of $(1+2x)^5$ is:
A10
B32
C5
D20
Answer & Solution
Correct answer: A. 10
T_{r+1}=C(5,r)(2x)^r; coefficient of x is C(5,1)·2 = 10.
Related questions
How many terms are in the expansion of $(a + b + c)^4$?Find the value of $ um_{r=0}^{10} \binom{10}{r}\cdot 3^r$.Pascal's triangle row 6 (corresponding to $(a+b)^6$) isIf the coefficient of $x^r$ in $(1 + x)^n$ equals the coefficient of $x^{r+2}$ in the sameThe expansion of $(1+x)^n$ at $x = -1$ gives the valueThe coefficient of $x^4$ in the expansion of $(1 + 2x)^6$ isHow many terms are in the expansion of $(a + b)^{15}$?Find the term INDEPENDENT of $x$ in the expansion of $\left(x^2 + \dfrac{3}{x}\right)^6$.