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How many terms of G.P. 3, 3^2, 3^3, ... ...

How many terms of G.P. 3, `3^2`, `3^3`, ... are needed to give the sum 120?

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JBD PUBLICATION-SEQUENCES AND SERIES-EXAMPLE
  1. Find the sum of first n terms of an A.P. whose nth term is 3n+1.

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  2. If 3rd term of a G.P. is 324 and 7th term is 64, then find the 10th te...

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  3. How many terms of G.P. 3, 3^2, 3^3, ... are needed to give the sum 120...

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  4. If m times the mth term is equal to n times the nth term of an A.P. pr...

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  5. If the pth, qth and rth terms of an A.P. be x,y,z repsectively, then s...

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  6. In an A.P., the first term is 2 and the sum of the first five terms is...

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  7. Find the sum of all natural numbers lying between 100 and 1000, which ...

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  8. Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respective...

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  9. The sums of n terms of two arithmetic progressions are in the ratio 5n...

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  10. Prove that the sum of n arithmetic means between two numbers is n time...

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  11. The digits of a positive integer having three digits are in AP and the...

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  12. If the first and the nth terms of a GP are a and b respectively and if...

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  13. How many terms of the series sqrt(3) + 3 + 3sqrt(3) +…... will make th...

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  14. Find the sum of n terms of the following sequences: 8+88+888+……………..up...

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  15. The A.M. between two positive numbers is 34 and their G.M. is 16. find...

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  16. If a be the A.M. and x, y be the two G.M's between b and c, show that ...

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  17. The sum of three numbers which are consecutive terms of an A.P. is 21....

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  18. If a,b,c are in A.P. and x,y,z are in G.P., then show that x^(b-c).y(c...

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  19. Find a G.P. for which sum of the first two terms is -4 and the fifth t...

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  20. The sum of an inifinite G.P. is 8. If the second term is 2, then find ...

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