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Find the sum of n terms of the series 1+...

Find the sum of `n` terms of the series `1+4/5+7/(5^2)+10/5^3+......`

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Find the sum to n terms of the series 1+4/5+7/5^2+10/5^3+…… find the sum to infinite number of terms.

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Knowledge Check

  • Find the sum of 100 terms of the series 1(3) + 3(5) + 5(7)+ ….

    A
    1353300
    B
    1353400
    C
    135200
    D
    1353100

  • Find the sum of the series: 1+4/5+7/5^2+10/5^3+….. to n terms:

    A
    35/16+7n/5
    B
    `(12n-7)/16(5^n-1)`
    C
    `35/16-[12n+7/16(5^n-1)]`
    D
    none of these

  • nth term of the series 1+4/5+7/5^2+(10)/5^3+… will be

    A
    `(3n+1)/(5^(n-1))`
    B
    `(3n-1)/(5^n)`
    C
    `(3n-2)/(5^(n-1))`
    D
    `(3n+2)/(5^(n-1))`

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    Find the sum of n terms of the series 1.3.5+3.5.7+5.7.9+dots

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