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The sum of the first ten terms of the series 1352+2252+3152+42+4452+.. is 165m then m is 

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a
100
b
99
c
102
d
101

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detailed solution

Correct option is D

852+1252+1652+..+4452_    since 10'th term of the A.P=8+9·45=162522+32+..+112=162511(11+1)(22+1)6−1   since sum of the squares of first n natural numbers=nn+12n+16=1625×505=165×101=165m⇒m=101


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The sum of n terms of an A.P. is 3n2+5 The number of  term which equals 159, is


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