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If S1,S2 and S3 be the sums of first n t...

If `S_1,S_2` and `S_3` be the sums of first n term ,of 2 n terms and of 3n terms of a G.P. respectively,then prove that-
`S_1^2+S_2^2=S_1(S_2+S_3)`.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. Find the sum of the following series 1 + 3 + 9….... to tenth term

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  2. Find the sum of the following series 128 + 64 + 32... to tenth term...

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  3. Find the sum of the following series:1-3+9-27+…. to the 9th term.

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  4. Find the sum of the following series:1/sqrt(2)-1+sqrt(2)… to the 10th ...

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  5. Find the sum of the following series 1+1/3+1/3^2….to tenth term.

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  6. Find the sum of the following series:2+1+1/2+1/(2^2)….to the nth term.

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  7. Find the sum of the following series (x+y)/(x-y)+1+(x-y)/(x+y)+…. to...

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  8. Find the sum of the following series (a-x)+(a^2-x^2)+(a^3-x^3)+….. T...

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  9. Find the number of terms if- 1+2+4+….=32767

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  10. Find the number of terms if- 64+32+16+….=127(1/2).

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  11. Find the number of terms if- 3-6+12-24+….=-1023.

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  12. Find the sum of first n terms of the following 1+11+111+1111+….

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  13. Find the sum of first n terms of the following 5+55+555+….

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  14. Find the sum of first n terms of the following 3+33+333+…..

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  15. Find the sum of first n terms of the following .7+.77+.777+…..

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  16. Find the sum of first n term of the following series 4+0.4+0.44+….

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  17. Find the sum of first n term of the following series 1+(1+2)+(1+2+2^...

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  18. Find the sum of first n term of the following series 1+(1+3)+(1+3+3^...

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  19. If S1,S2 and S3 be the sums of first n term ,of 2 n terms and of 3n te...

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  20. If S1,S2 and S3 be the sums of first n term ,of 2 n terms and of 3n te...

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