The approximate value of (1.0002)^ 3000 is - Vidyadip

MCQ

The approximate value of $(1.0002)^{3000}$ is

✓
$1.6$
B
$1.4$
C
$1.8$
D
$1.2$

✓

Answer

Correct option: A.

$1.6$

a
(a) ${(1.0002)^{3000}} = {(1 + 0.0002)^{3000}}$

$= 1 + (3000)(0.0002) + \frac{{(3000)(2999)}}{{1.2}}{(0.0002)^2} +... $

We want to get answer correct to only one decimal places and as such we have left further expansion.

$= 1 + (3000)(0.0002)$ $= 1.6$

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