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Find the sum of the products of the corr...

Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128 , 32 , 8 , 2 `1/2`

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496
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Show that the products of the corresponding terms of the sequences a, ar, ar^2 ,…ar^(n – 1) and A, AR, "AR"^2, … "AR"^(n – 1) form a G.P, and find the common ratio.

Find the 5th and nth terms of the sequence [1, 4, 9, 16,….].

Knowledge Check

  • The A.M of the series 1, 2, 4, 8, 16…., 2^n is

    A
    `(2^n-1)/n`
    B
    `(2^(n+1)-1)/(n+1`
    C
    `(2^(n)+1)/(n`
    D
    `(2^(n)-1)/(n+1`

  • The 8th term of the sequence {-8, -6, -4, -2,…} is-

    A
    2
    B
    4
    C
    6
    D
    8

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