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Sum the following Series : 2/5+3/5^2+...

Sum the following Series :
` 2/5+3/5^2+2/5^3+3/5^4+ .............. to oo`.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find Soo, for the following infinite G.P.'s : 0.3, 0.18, 0.108, ......

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  2. Sum the following series : (sqrt(2)+1)+1+(sqrt(2)-1)+ .......+oo.

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  3. Sum the following Series : 2/5+3/5^2+2/5^3+3/5^4+ .............. to...

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  4. The value of 9^(1/3), 9^(1/9).9^(1/27)…………..upto infty is:

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  5. Given a G.P. with a= 729 and 7th term 64, determine S7.

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  6. The common ratio of a G.P. is -4/5 and the sum to infinity is 80/9. Fi...

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  7. Find Soo of G.P. whose first term is 28 and the fourth term is 4/49 .

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  8. The sum of an infinite number of terms of a G.P. is 15 and the sum of ...

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  9. Evaluate the following : 0. bar 45.

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  10. Evaluate the following : 1. bar 36.

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  11. Evaluate the following : 0.2 bar 35.

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  12. Evaluate the following : 0.bar 712.

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  13. Find a rational number of the following which will have as its expansi...

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  14. Find a rational number of the following which will have as its expansi...

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  15. Find a rational number of the following which will have as its expansi...

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  16. Find a rational number of the following which will have as its expansi...

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  17. Let x=1+a +a^(2) +….. And y= 1 + b + b^(2)+…… where |a| lt 1 and |b| l...

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  18. One side of a equilateral triangle is 24 cm. The mid-points of its sid...

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  19. Find the sum to n terms of the following series : 1+3/2+5/2^2+7/2^3+...

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  20. Find the sum to n terms of the following series : 1+2/3 +3/3^2+4/3^3...

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