summation of infinite terms

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after deleting a certain number from the sequence of n numbers the arithmetic mean of remaining numbers comes out to be 5 find the sum of all such values of n


The answer is 27.

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1 solution

Chirag Shetty
Oct 13, 2014

the best approach for this sum is by getting the near by range that it for all the numbers till seven even if we delete the least number that 1 we aren't able to get AM equal to five then the possibility arrives for 8,9,10 by deleting 1, 5,10 then for values greater than 10 even deleting the highest term would not help thus the sum 8+9+10=27

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