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find the value of term of the series 25,91/4,41/2,73/4..... which is numerically smallest

find the value of term of the series 25,91/4,41/2,73/4..... which is numerically smallest

Grade:11

1 Answers

Ravi
askIITians Faculty 69 Points
7 years ago
take the LCM of the denominator and rewrite the series as 100/4, 91/4, 82/4, 73/4, 64/4, 55/4, …. (As you can see that now the common difference between two consecutive terms is -9/4) and the series is an AP.

Rest can be easily done using the basic AP formulae...

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