An algebra problem by Abu Bakar Khan

Algebra Level 3

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

1.01^{1000000}

They are equal

10

000

1 solution

Chew-Seong Cheong
Sep 10, 2016

$\begin{aligned} 1.01^{1000000} & = (1+0.01)^{1000000} \\ & = (1+10^{-2})^{10^6} \\ & = 1 + \frac {10^6}{10^2} + ... \\ & = 1 + 10000 + ... \\ \implies 1.01^{1000000} & \boxed{>} 10000 \end{aligned}$

An algebra problem by Abu Bakar Khan

1 solution

0 pending reports