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Find the sum of the following geometric ...

Find the sum of the following geometric series: `sqrt(7),sqrt(21),3sqrt(7),\ to\ n` terms.

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Here `a=sqrt(7 )`
​,`r=​sqrt(3)`
​ ∴`S_n​=a(1−r^n)/(1-r)`
​=`​sqrt(7) ​[1−(sqrt(3)​)^n]/(1-sqrt(3)​`
=`​sqrt(7) ...
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RD SHARMA-GEOMETRIC PROGRESSIONS-Solved Examples And Exercises
  1. Find the sum of the following geometric series: 1,\ -a,\ a^2,-a^3, to...

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  2. Find the sum of the following geometric series: x^3, x^5, x^7, to\ n ...

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  3. Find the sum of the following geometric series: sqrt(7),sqrt(21),3sqrt...

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

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

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

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

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

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

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

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

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

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  13. The ratio of the sum of first three terms is to that of first 6 term...

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

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

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

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

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

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

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