Difference between revisions of "User talk:JBL"
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I am sorry about CMO. What do you suggest I should do? Redirect? Recreate the pages? By the way "[[Cyprus Mathematical Olympiad]]" it is the official translation. The papers are in both English and Greek. | I am sorry about CMO. What do you suggest I should do? Redirect? Recreate the pages? By the way "[[Cyprus Mathematical Olympiad]]" it is the official translation. The papers are in both English and Greek. | ||
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+ | oh. i didn't know that AMC 8 wasn't hyphenated. --[[User:Anirudh|Anirudh]] 19:57, 11 November 2006 (EST) |
Revision as of 19:57, 11 November 2006
For later use (Mock AIME 2006)
Let the ratio of consecutive terms of the sequence be . Then we have by the given that so and , where can be any of the tenth roots of unity.
Then the sum has value . Different choices of clearly lead to different values for , so we don't need to worry about the distinctness condition in the problem. Thus our final answer will be .
For every choice of , is also a 10th root of unity, so if we take 2 copies of we can pair up terms to get
About CMO
I am sorry about CMO. What do you suggest I should do? Redirect? Recreate the pages? By the way "Cyprus Mathematical Olympiad" it is the official translation. The papers are in both English and Greek.
oh. i didn't know that AMC 8 wasn't hyphenated. --Anirudh 19:57, 11 November 2006 (EST)