Mock AIME 1 2007-2008 Problems/Problem 6
Problem 6
[problem to be filled in]
Solution
Consider the product of the geometric series .
By the geometric series formula, the first series evaluates to be . The second series evaluates to be
. Their product is
. Taking the denominator, we have
(or consider FOILing). The answer is
.
See also
Mock AIME 1 2007-2008 (Problems, Source) | ||
Preceded by Problem 5 |
Followed by Problem 7 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |