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Let a1, a2,...,a30 be an AP, S=sum(i=1)^...

Let `a_1, a_2,...,a_30` be an AP, `S=sum_(i=1)^(30)a_i` and `T=sum_(i=1)^(15)a_(2i-1)` If `a_5=27` and `S-2T=75` then `a_10` is equal to (a) 57 (b) 42 (c) 52 (4) 47

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Knowledge Check

  • a_1,a_2,a_3 ,…., a_n from an A.P. Then the sum sum_(i=1)^10 (a_i a_(i+1)a_(i+2))/(a_i + a_(i+2)) where a_1=1 and a_2=2 is :

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    B
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    C
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    D
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  • Let a_1,a_2,... a_49 be in A.P. Such that sum_(k=0)^12a_(4k+1)=416 and a_9+a_43=66.if a_1^2+a_2^2+...+a_17^2=140m, then m is equal to

    A
    68
    B
    34
    C
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