Please Help!! Will Medal!!

....The king readily agrees because this does not seem to be a very large request, but before he gets to the 64th square, he realizes he is ruined. He is unfamiliar with geometric series and how fast they can increase. What is the total number of rice grains that the king must give the wise man at the 62nd square?

Question

Please Help!! Will Medal!! 

....The king readily agrees because this does not seem to be a very large request, but before he gets to the 64th square, he realizes he is ruined. He is unfamiliar with geometric series and how fast they can increase. What is the total number of rice grains that the king must give the wise man at the 62nd square?

anonymous · Answer

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sidsiddhartha · Answer

sum of the series=2^n-1
so for 62th square it will yield=2^62-1

imstuck · Answer

Ok, the formula for the geometric series is $$a _{62}=1(2)^{62-1}$$where the a62 indicates the 62nd square, the 1 indicates the first number in the series, the 2 is the number that each term in multiplied by to get the next term, and n-1 is 62-1.  See?