Q.

If  the sum of the first ten terms of the series 1352+2252+3152+42+4452+…. is 165m, then m is equal to

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a

99

b

102

c

101

d

100

answer is C.

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Detailed Solution

852+1252+1652+2152+2452+....S=422512+22+32+42+…112−1=1625(11)(12)(23)6−1=1625[505]=165mm=101
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