Question

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$find \: an \: approximation \: of \: ({0.99})^{5} using \\ the \: first \: three \: terms \: of \: its \: expansion$
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Answer 1

Answer:

0.951

Step-by-step explanation:

Given:

(0.99)⁵

To Find:

Apprixmation using first three terms of its expansion.

Solution:

(0.99)⁵

==> (1 - 0.01)⁵

==> C(5,0)(1)⁵ - C(5,1)(1)⁴(0.01) + C(5,2)(1)³(0.01)² + ....

==> 1 - 5(0.01) + 10(0.01)²

==> 1 - 0.05 + 10 * 0.0001

==> 1 - 0.05 + 0.001

==> 1.001 - 0.050

==> 0.951

Result:

Thus, the value is approximately 0.951.

Answer 2

Answer:

Here goes the answer

Terms=0.99 and 5

sorry I will not be able to make it correct...