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Anil Saigal
05/12/2009
PROBLEM # 1 Please send your solutions to anil@lokvani.com. ------------------------------------------------------------------------------------------------------------- PROBLEM # 1 The first three terms of an arithmetic sequence are 2x-3, 5x-11 and 3x+1, respectively. The nth term of the sequence is 2009. What is n? Solution: PROBLEM #2 Let a + a x + a x^2 + a x^3 + .... and a + a y + a y^2 + a y^3 + .... be two different infinite geometric series of positive numbers with the same first term. The sum of the first series is x, and the sum of the second series is y. What is x+y? Solution: Congratulations to Aseem Chandawarkar, who was the winner of the last set of puzzles.
The value of my car depreciates by 10 percent every year. Current price of my car is $20000. After how many years will the price be $10000?
PROBLEM #2
What is ei ?
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