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The sum of first 20 terms of the sequenc...

The sum of first 20 terms of the sequence 0.7, 0.77, 0.777...... is

A

`7/9(99-10^(-20))`

B

`7/81(179+10^(-20)`

C

`7/9(99+10^-20)`

D

`7/81(179-10^(-20))`

Text Solution

Verified by Experts

The correct Answer is:
B
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MCGROW HILL PUBLICATION-PROGRESSIONS-Questions from Previous Years. AIEEE/JEE Main Papers
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  2. If x, y, z are in A.P. and tan^(-1) x, tan^(-1) y and tan^(-1)z are al...

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  3. The sum of first 20 terms of the sequence 0.7, 0.77, 0.777...... is

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  4. Given sum of the first n terms of an A.P is 2n + 3n^(2). Another A.P....

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  5. the sum3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+....... upto 11 terms

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  6. Given a sequence of 4 numbers, first three of which are in G.P. and th...

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  7. The value of 1^2+3^2+5^2+...+25^2 is (A) 1728 (B) 1456 (C) 2925 ...

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  8. Let a1,a2,a3………. be term os an A.P. if (a1+a2+….+ap)/(a1+a2+………+aq)=p^...

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  9. The sum of the series (2)^2+2(4)^2+3(6)^2+.... upto 10 terms is

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  10. If S= tan^-1 (1/(n^2+n+1))+tan^-1 (1/(n^2+3n+3))+…+tan^-1 (1/(1+(n+19)...

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  11. If a1,a2,a3,. . . ,an. . . are in A.P. such that a4−a7+a10=m, then sum...

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  12. Three positive numbers form an increasing GP. If the middle term in th...

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  13. If (10)^9+""2(11)^1(10)^8+""3(11)^2(10)^7+""ddot""+""10(11)^9=k(10)^9 ...

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  14. Given an A.P. whose terms are all positive integers. The sum of its fi...

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  15. If the sum 3/1^2+5/(1^2+2^2)+7/(1^2+2^2+3^2)+. . . + upto 20 terms is ...

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  16. In a geometric progression, if the ratio of the sum of first 5 terms t...

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  17. The sum of the first 20 terms common between the series 3 +7+11+15+.....

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  18. Let G be the geometric mean of two positive numbers a and b, and M be ...

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  20. Number of terms of an AP is even. The sum of odd terms is 24 an that o...

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