2012 AIME II Problems/Problem 2
Problem 2
Two geometric sequences and
have the same common ratio, with
,
, and
. Find
.
Solution
Call the common Now since the
th term of a geometric sequence with first term
and common ratio
is
we see that
But
equals
so
See Also
2012 AIME II (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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