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How many terms of the series 26,21,16.......must be taken to amount to 74?


The answer is 4.

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1 solution

Mark Dave Martin
Jan 26, 2015

The sum of the first three terms is 63. So, 74-63=11. Notice that the second term is obtained by detracting 5 from the foremost term specified. Since 11 more is needed to come up with a total of 74 and since 16-5=11, there are four terms that have got to be taken to amount to 74 (26, 21, 16, and 11).

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