Difference between revisions of "Mock AIME 1 2006-2007 Problems/Problem 13"
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− | + | ==Problem== | |
+ | Let <math>a_{n}</math>, <math>b_{n}</math>, and <math>c_{n}</math> be geometric sequences with different common ratios and let <math>a_{n}+b_{n}+c_{n}=d_{n}</math> for all integers <math>n</math>. If <math>d_{1}=1</math>, <math>d_{2}=2</math>, <math>d_{3}=3</math>, <math>d_{4}=-7</math>, <math>d_{5}=13</math>, and <math>d_{6}=-16</math>, find <math>d_{7}</math>. | ||
+ | ==Solution== | ||
+ | {{solution}} | ||
− | [[Mock AIME 1 2006-2007]] | + | ---- |
+ | |||
+ | *[[Mock AIME 1 2006-2007/Problem 12 | Previous Problem]] | ||
+ | |||
+ | *[[Mock AIME 1 2006-2007/Problem 14 | Next Problem]] | ||
+ | |||
+ | *[[Mock AIME 1 2006-2007]] |
Revision as of 19:42, 22 August 2006
Problem
Let ,
, and
be geometric sequences with different common ratios and let
for all integers
. If
,
,
,
,
, and
, find
.
Solution
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