Web Analytics
Answered

Which expression represents the fourth term in the binomial expansion of (e + 2f)10?

A10C3(e7)(2f)3
B10C3(e7)(f)3
C10C4(e6)(2f)4
D10C4(e6)(f)4

Verified Answer :

frika

The fourth term of the binomial expansion \((e+2f)^{10}\) can be calculated using the formula for (i+1)-th term of the binomial expansion:

\(T_{i+1}=C_{10}^i\cdot e^{10-i}\cdot (2f)^i.\)

In order to find term \(T_4\), determine that

\(i+1=4\Rightarrow i=3.\)

Now

\(T_4=C_{10}^3\cdot e^{10-3}\cdot (2f)^3=C_{10}^3\cdot e^7\cdot (2f)^3.\)

Answer: correct choice is A

Answer:

A: 10C3(e7)(2f)3

Step-by-step explanation:

Related Questions