Difference between revisions of "2012 AIME II Problems/Problem 2"
Williamhu888 (talk | contribs) (Created page with "== Problem 2 == Two geometric sequences <math>a_1, a_2, a_3, \ldots</math> and <math>b_1, b_2, b_3, \ldots</math> have the same common ratio, with <math>a_1 = 27</math>, <math>b_...") |
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== Problem 2 == | == Problem 2 == | ||
Two geometric sequences <math>a_1, a_2, a_3, \ldots</math> and <math>b_1, b_2, b_3, \ldots</math> have the same common ratio, with <math>a_1 = 27</math>, <math>b_1=99</math>, and <math>a_{15}=b_{11}</math>. Find <math>a_9</math>. | Two geometric sequences <math>a_1, a_2, a_3, \ldots</math> and <math>b_1, b_2, b_3, \ldots</math> have the same common ratio, with <math>a_1 = 27</math>, <math>b_1=99</math>, and <math>a_{15}=b_{11}</math>. Find <math>a_9</math>. | ||
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+ | == Solution == | ||
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+ | == See also == | ||
+ | {{AIME box|year=2012|n=II|num-b=1|num-a=3}} |