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Find the sum of the sequence 7, 77, 777,...

Find the sum of the sequence 7, 77, 777, 7777, ... to n terms.

Text Solution

Verified by Experts

The correct Answer is:
`7/9[(10(10^(n-1)))/9-n]`
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Find the sum to n terms of the sequence, 8, 88, 888, 8888… .

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Knowledge Check

  • The sum of first 20 terms of the sequence 0.7, 0.77, 0.777,….. Is

    A
    `(7)/(81) (179 + 10^(-20))`
    B
    `(7)/(9)(99 + 10^(-20))`
    C
    `(7)/(81)(179 - 10^(-20)) `
    D
    `(7)/(9) (99 - 10^(-20))`

  • 7 + 77 + 777 + …. N terms =

    A
    `70(10^(n) - 1)// 81 - 7n // 9`
    B
    `7(10^(n) - 1)//81 - 7n//9 `
    C
    `7(10^(n) - 1) - 7n//9`
    D
    none

  • Tenth term in the sequence 4,7,10,13,…. Is

    A
    3n+1
    B
    3n-1
    C
    3n
    D
    3n+2

    • Similar Questions

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    find the sum of the following A.Ps 7,11,15,….,12 terms, n terms.

    Find the sum of the first 25 terms of an A.P. whose n^(th) term is given by a_n=2-3n .

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    Statement I: The sum of the first 30 terms of the sequence 1,2,4,7, 11, 16, 22, …..... is 4520 Statement II : If the successive differences of the terms of a sequence form an AP, then general term of the sequence is of the form an^(2) + bn+c .

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