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Question

The Incredible Hulk can double the distance he jumps with each succeeding jump. If his first jump is 1 meter, the second jump is 2 meters, the third jump is 4 meters, and so on, then on which jump will he first be able to jump more than 1 kilometer (1,000 meters)?

Accepted Answer

This is a geometric sequence in which the common ratio is 2. To find the jump that would be over a 1000 meters, we note that 2^10=1024. However, because the first term is 2^0=1 and not 2^1=2, the solution to the problem is 10-0+1=11^th