2012 AIME II Problems/Problem 2: Difference between revisions
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_..." |
No edit summary |
||
| Line 1: | Line 1: | ||
== 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>. | ||
== Solution == | |||
== See also == | |||
{{AIME box|year=2012|n=II|num-b=1|num-a=3}} | |||
and 
have the same common ratio, with 
, 
, and 
. Find 
.
