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Prove that 1/4^3xx1/4^9xx1/4^(27)…………….....

Prove that
`1/4^3xx1/4^9xx1/4^(27)……………..=8`

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JBD PUBLICATION-SEQUENCES AND SERIES-EXAMPLE
  1. If A.M. and G.M of roots of a quadratic equations are 6 and 5 respecti...

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  2. Prove that 1/3^2xx1/3^4xx1/3^8............=3

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  3. Prove that 1/4^3xx1/4^9xx1/4^(27)……………..=8

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  4. Find the sum of n terms of the series whose nth term is given by n^2+2...

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  5. A man starts repaying a loan as first instalment of Rs. 100. If he inc...

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  6. Find the sum of first n terms of an A.P. whose nth term is 3n+1.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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