Question

Use the first four terms of the binomial theorem to approximate 2.2^7

A. 248.96
B. 248.4688
C. 23.424
D. 249.4357888
please explain the steps to how you got your answer thank you!!

Answer 1

The answers is choice d .

Answer 2

248.96.

Explanation:

We write it as:

(2 + 0.2)^7 = 2^7 + 7*2^6*0.2 + 7C2*2^5*(0.2)^2 + 7C3*2^4(*(0.2)^3

= 128 + 89.6 + 26.88 + 4.48

= 248.96.