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Mgmat Question

by alltimeacheiver » Wed Apr 27, 2011 10:40 pm
For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(100) - g(99)?

0
1
3
99
100
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by Anurag@Gurome » Wed Apr 27, 2011 10:48 pm
alltimeacheiver wrote:For every integer n ≥ 3, the function g(n) is defined as the product of all the odd integers from 1 to n, inclusive. What is the value of g(100) - g(99)?

0
1
3
99
100
g(n) = 1 * 3 * 5 .... * n
g(100) = 1 * 3 * 5 * ... * 99 (Note that 100 is not an odd integer, so we are not including 100 here)
g(99) = 1 * 3 * 5 * ... * 99
So, g(100) - g(99) = 0

The correct answer is A.
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