Q.

The sum of positive terms of the series  10+947+917+… is

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a

3527

b

4377

c

8527

d

None of these

answer is C.

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Detailed Solution

Here, a=10,d=−37Then  tn=10+(n−1)−37tn is positive if 10+(n−1)−37≥0 or 70−3(n−1)≥0 or 73≥3n; or 2413≥n∴First 24 terms are positive.∴ Sum of the positive terms=S24=2422×10+23×−37=1220−697=8527
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