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If the sum of n terms of an A.P. is pn+q...

If the sum of n terms of an A.P. is `pn+qn^2`, where p and q are constants, find the common difference.

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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
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  2. Find the sum of n terms of the AP, whose K^th term is ak=5K+1.

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  3. If the sum of n terms of an A.P. is pn+qn^2, where p and q are constan...

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  4. The sums of n terms of two A.P.s are in the ratio (5n + 4): (9n + 6). ...

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  5. If the sum of p terms of an AP is the same as the sum of its q terms, ...

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  6. The sum of the first p,q,r terms of an AP are a,b,c respectively, prov...

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

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  8. If the sum of n terms of an A.P is 3n^2+5n and its m^(th) term is 164....

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

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

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  11. Between 1 and 31, m numbers have been inserted in such a way that the ...

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  12. A man starts repaying a loan as a first instalment of Rs. 100. If he i...

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  13. The difference between any two consecutive interior angles of a polygo...

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  14. Find the 10^(th) and n^ (th) terms of the G.P. 5,25,125, . . .

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  15. Which term of the G.P., 2,8,32, ., up to n terms is 131072 ?

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  16. In a.G.P., the 3^( rd ) term is 24 and the 6^ (th) term is 192 . Find...

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  17. Using progression, find the sum of first five terms of the series 1+2/...

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  18. How many terms of the GP 3,3/2,3/4,….are needed to give the sum 3069/5...

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  19. The sum of first three terms of a Geometric Progression is 13/12 and t...

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  20. Find the sum to n terms of the sequence 7,77,777,7777,…….

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