Difference between revisions of "1984 AIME Problems/Problem 1"
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== Problem == | == Problem == | ||
| + | Find the value of <math>\displaystyle a_2+a_4+a_6+a_8+\ldots+a_{98}</math> if <math>\displaystyle a_1</math>, <math>\displaystyle a_2</math>, <math>\displaystyle a_3\ldots</math> is an arithmetic progression with common difference 1, and <math>\displaystyle a_1+a_2+a_3+\ldots+a_{98}=137</math>. | ||
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== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 22:34, 20 January 2007
Problem
Find the value of 
if 
, 
, 
is an arithmetic progression with common difference 1, and 
.
Solution
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