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Find the sum of n terms of the series" 7...

Find the sum of n terms of the series`" 7 + 77 + 777 + …`

A

`7/9 {10(10^(n) -1)-n}`

B

`7/9 {(10)/(9)(10^(n) -1)-n}`

C

`7 {(10)/(9)(10^(n) -1)-n}`

D

none of these

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The correct Answer is:
B
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ARIHANT SSC-SEQUENCE, SERIES & PROGRESSIONS-INTRODUCTORY EXERCISE 18.2
  1. The sum of four terms in G.P. is 312 . The sum of first and fourth ter...

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  2. A bouncing tennis ball rebounds each time to a height equal to one hal...

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  3. Find the sum of n terms of the series" 7 + 77 + 777 + …

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  4. Find the sum of n terms of 0.8 + 0.88 + 0.888 + …

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  5. If the pth, qth and rth terms of a G.P. be respectively , a,b and c th...

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  6. If a,b,c are respectively the xth, yth and zth terms of a G.P. then th...

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  7. There are four numbers such that the first three of them form an Arith...

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  8. Find the sum of n terms of the series 1+3 +7 +15 + …

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  9. Find the sum to n terms : (1)/(2) + (3)/(2^(2)) + (5)/(2^(3)) +…+ (2...

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  10. Find the sum to n terms of the series 11+ 102+1003+10004+… :

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  11. Find the sum of first n groups of (1) + (1+3) +(1+3+9) + (1+3+9 +27) +...

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  12. Find the sum to n terms of the following series : 2+5+14+41 + …

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  13. Find the sum to n terms : 1+ 2x + 3x^2 + 4x^3 + … ,xne 1 :

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  14. Find the sum to infinity of the series 1+3x+5x^2+7x^3+oow h e n|x|<1.

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  15. Find the sum to first n terms : 1+2/3 + 3/(3^2) + 4/(3^3)+….

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  16. Find the sum to n terms of 3 * 2 + 5*2^2 + 7*2^3 + ….

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

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  18. Find the sum of the series : 1*3^2 + 2* 5^2 + 3*7^2 + … to 20 terms...

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  19. Sum up to 16 terms of the series (1^(3))/(1) + (1^(3) + 2^(3))/(1 + 3)...

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  20. In a set of four number, the first three are in GP & the last three ar...

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