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Evaluate the following: sum(n=2)^(10)4^n...

Evaluate the following: `sum_(n=2)^(10)4^n`

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
  1. Find the sum of the following geometric series: sqrt(7),sqrt(21),3sqrt...

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  2. Evaluate the following: sum(n=1)^(11)(2+3^n)

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  3. Evaluate the following: sum(n=2)^(10)4^n

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  4. Find the sum of the following series: 5+55+555+ to\ n\ t e r m sdot

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  5. Find the sum of the following series : 0. 7+0. 77+0. 777+...... ton t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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