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Which number is larger (1.2)^400 or 800 ? Its a binominal problem . I want to know how to solve it.

Which number is larger (1.2)^400 or 800 ? Its a binominal problem . I want to know how to solve it.

Grade:10

1 Answers

Vikas TU
14149 Points
7 years ago
(1.2)^400 => (1 + 0.2)^400
expand it from binomial theorem,
=> 1 + 400*0.2 + 400*399*0.2^2/2 + 400*399*398*0.2^3/6 + …..
=> 1 + 80 + 3192 + …
From here it is hence greater than 800.
Hence (1.2)^400 is greater than 800.

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