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Find the sum of the following series: 0....

Find the sum of the following series: `0. 5+0. 55+0. 555+ to\ n\ t e r m s`

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. Find the sum of the following series : 0. 7+0. 77+0. 777+...... ton t...

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  2. Find the sum of the following series: 9+99+999+ to\ n\ t e r m s

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  3. Find the sum of the following series: 0. 5+0. 55+0. 555+ to\ n\ t e r ...

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  4. Find the sum of the following series: 0. 6+0. 66+0. 666 to\ n\ t e r ...

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  5. How many terms of the series 3,6,12,.. having sum 381?

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  6. .Find the G.P., if the common ratio of G.P. is 3, nth term is 486 and ...

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  7. The ratio of the sum of first three terms to the sum of first six term...

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  8. The 4th and 7th terms of a G.P. are 1/(27)a n d1/(729) respectively. F...

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  9. Show that the ratio of the sum of first n terms of a G.P. to the su...

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  10. If a\ a n d\ b are the roots of x^2-3x+p=0\ a n d\ c ,\ d are the root...

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  11. How many terms of the G.P. 3,3//2,3//4, be taken together to make (30...

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  12. A person has 2 parents, 4 grandparents, 8 great grand parents, and so ...

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  13. A. G.P. consists of an even number of terms. If the sum of all the ...

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  14. Find the sum to infinity of GP -5/4, 5/16,-5/64......

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  15. Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)oo=6.

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  16. If b=a+a^2+a^3+ dotoo prove that a=b/(1+bdot)

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  17. The first term of G.P. is 2 and the sum to infinity is 6. Find the com...

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  18. The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, ...

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  19. Use geometric series to express 0. 555... = bar0.5 as a rational numb...

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  20. The inventor of the chess board suggested a reward of one grain of whe...

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