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The ratio of the sums of m and n terms o...

The ratio of the sums of m and n terms of an A.P. is `m^2: n^2`. Show that the ratio of `m^(th)` and `n^(th)` term is (2m - 1 ) : (2n -1).

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PSEB-SEQUENCES AND SERIES-EXERCISE
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  2. Sum of the first p, q and r terms of an A.P. are a, b and c, respectiv...

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  3. The ratio of the sums of m and n terms of an A.P. is m^2: n^2. Show th...

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  4. If the sum of n terms of an A.P. is 3n^2 + 5n and its m^(th) term is 1...

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  5. Insert five numbers between 8 and 26 such that the resulting sequence ...

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  6. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

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  10. Find the 20th and nth terms of the G.P. 5/2,5/4,5/8,.....

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  11. Find the 12th term of a G.P. whose 8th term is 192 and the common rati...

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  12. The 5th, 8th and 11th terms of a G.P. are p, q and x, respectively. Sh...

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  13. The 4th term of a G.P. is square of its second term, and the first ter...

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  14. Which term of the following sequence:- 2,2sqrt2,4,.....is 128?

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  15. Which term of the following sequence:- sqrt3,3,3sqrt3,....is 729?

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  16. Which term of the following sequence:- 1/3,1/9,1/27,.....is 1/19683 ?

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  17. For what values of x, the numbers -2/7,x, -7/2 are in G.P.?

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  18. Find the sum to indicated number of terms of the geometric progression...

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  19. Find the sum to indicated number of terms of the geometric progression...

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  20. Find the sum to indicated number of terms of the geometric progression...

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