Suppose we have a chessboard (contains 64 quods). In the first quod we put 0.01 ¤ (1 cents) in the

Question

second squod double the previous one and continue this process until the 64th square, how much money we have
put on the board?

Choose between:
a) (263 -1)¤
b) 0.01 . (263 -1)¤
c) (264 -1)¤
d) 0.01 . (264 -1)¤

Answer 1

1 + 2 + 4 + 16 .....
geometric series with 64 terms
1 + 1(2) + 1(2)^2 + 1(2)^3 + .... 1(2)^63
Sum = 1 (1-2^64)/(1-2) = 2^64 – 1 = 1.84467 *10^19 – 1
All in cents so in dollars
1.84467*10^17 - .01

Answer 2

thank you...it is the d..