First slide

Binomial theorem for positive integral Index

Question

$Which is larger (1.01)^{1000000} (or) 10, 000$

Easy

A

${(1.01)}^{1000000}$
B

10,000
C

both
D

1

Solution

${(1.01)}^{1000000} = {(1 + 0.01)}^{1000000}$
$= 1000000_{C_{0}} + 1000000_{C_{1}} (0.01) + ........$
$\begin{array}{l} = 1 + 10000 + \dots \dots . . \\ = 100001 + \dots \dots \dots > 10, 000 \end{array}$
$∴ (1.01)^{1000000} is larger$

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