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If the pth term of AP is 1/q and its q t...

If the `p`th term of AP is `1/q` and its `q` th term is `1/p` show that sum of `pq` terms is `1/2(pq+1)`

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If p th term of an A.P. is 1/q and q th term is 1/p prove that the sum of the first pq terms is 1/2[pq+1]

If mth term of an AP is 1/n and its nth term is 1/m, then show that its (mn) th term is 1

If the p^(th) term of an A.P.is (1)/(q) and q^(th) term is (1)/(p) and sum of pq terms is 25pq, then find the value of pq.

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If the m^(th) term of an A.P.is (1)/(n) and the n^(th) term is (1)/(m), show that the sum of mn terms is (1)/(2)(mn+1)

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3.If the Pth term of an A.P.is 1/q and qth term is 1/p and sum of pq terms is 25pq, then find the value of pq.

In an A.P., if pth terms is (1)/(q) and qth term is (1)/(p) prove that the sum of first pq tems is (1)/(2)(pq+1) , where pneq.

If the m^(th) term of an A.P.is (1)/(n) and the n^(th) terms is (1)/(m), show that the sum of mn terms is (1)/(2)(mm+1)

VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( LONG ANSWER QUESTIONS )
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  3. Sum of the first p, q and r terms of an A.P are a, b and c, respectiv...

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  4. If the pth term of AP is 1/q and its q th term is 1/p show that sum of...

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  5. The sum of the first five terms of an AP is 55 and sum of the first te...

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  6. The ratio of the 11th term to the 18th term of an AP is 2:3. Find the ...

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  7. A sum of Rs 2700 is to be used to give eight cash prizes to students o...

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  8. Three hundred sixty bricks are stacked in the following manner: 30 bri...

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  9. Reshma repays her total loan of Rs 1,75,000 by paying every month sta...

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  10. The students of a shool decided to beautifly the school on the annual ...

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  11. A man saved Rs 200 during the first month, Rs 225 in the second month ...

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  12. A contract on construction job specifies a penalty for delay of comple...

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  13. A manufacturer of wire produced 1400 m wire in the 5 th year and 1600 ...

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  14. Find the middle term of the sequence formed by all three-digit numbers...

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  15. Find the sum of all the two digit numbers which are either multiples o...

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  16. Ramkali required Rs 2500 after 12 weeks to send her daughter to school...

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  17. An arithmetic progression 5, 12, 19,..., has 50 terms. Find its last t...

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  18. Find the middle term of the sequence formed by all numbers between 9 a...

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  19. The sums of n terms of three arithmetical progressions are S1, S2a n d...

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  20. If pth,qth and rth terms of an A.P. are a, b, c respectively, then sho...

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