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If the sum of p terms of an AP is the sa...

If the sum of p terms of an AP is the same as the sum of its q terms, show that the sum of its `(p+q)` terms is zero.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
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  2. The sums of n terms of two A.P.s are in the ratio (5n + 4): (9n + 6). ...

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

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

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  5. 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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  6. 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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  7. Insert five numbers between 8 and 26 such that the resulting sequence...

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

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

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

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  12. The n^(th) term of a sequence is given by an=4n+7 List the first 4 ter...

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  13. The n^(th) term of a sequence is given by an=4n+7 Is the sequence an A...

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  14. The n^(th) term of a sequence is given by an=4n+7 Is the sequence an A...

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  15. Consider a sequence whose sum to n terms is given by Sn=2n^2+4n Find a...

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  16. Consider a sequence whose sum to n terms is given by Sn=2n^2+4n Is the...

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  17. Find the n^(th) term of the A.P 84, 80,76,.....

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  18. If an is the n^(th) term of an A.P whose first term is a and common di...

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  19. Prove that the number of terms in the A.P. 3,6,9,….111 is 37

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  20. Find the number of natural numbers between 1 and 100 which are divisib...

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