SOLUTION: Express a binomial expansion and evaluate (1.01)^5 to four decimal places

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Question 1192288: Express a binomial expansion and evaluate (1.01)^5 to four decimal places
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!




C%285%2C5%29%281%5E5%29%28.01%5E0%29=%281%29%281%29%281%29=1

C%285%2C4%29%281%5E4%29%28.01%5E1%29=%285%29%281%29%28.01%29=.05

C%285%2C3%29%281%5E3%29%28.01%5E2%29=%2810%29%281%29%28.0001%29=.001

C%285%2C2%29%281%5E2%29%28.01%5E3%29=%2810%29%281%29%28.000001%29=.00001

Clearly that term and none of the remaining terms will add anything to the 4th decimal place.

ANSWER: (1.01)^5 = 1.0510 to 4 decimal places