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Suppose a(1), a(2), a(3),…., a(49) are i...

Suppose `a_(1), a_(2), a_(3),…., a_(49)` are in A.P and `underset(k=0)overset(12)Sigma a_(4k+1)= 416 and a_(9) + a_(43)= 66`. If `a_(1)^(2) + a_(2)^(2)+ ….+ a_(17)^(2)= 140m` then m= ……..

A

66

B

68

C

34

D

33

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If a_(1), a_(2), a_(3).,,,,,,,,a_(n) are in A.P and their common difference is d. The value of the series sin d_(1) [sec a_(1).sec a_(2) + sec a_(2).sec a_(3)+ ….+ sec a_(n-1).sec a_(n)] is……..

    A
    `sec a_(1).sec a_(n)`
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    `cosec a_(1)- cosec a_(n)`
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    `cot a_(1)- cot a_(n)`
    D
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    0
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