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If the 5th and 12th terms of an A.P. are...

If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what is the sum of the first 20 terms ?

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. How many terms are there in A.P. whose first and fifth terms are -14 a...

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  2. If the sum of the first n terms of a sequence is of the form An^2+ Bn,...

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  3. If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what ...

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  4. If the first term a1 of an A.P. is 22, the common difference d = -4 an...

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  5. In an A.P., if p^(th) term is 1/q and q^(th) term is 1/p, prove that t...

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  6. If the sum of first p terms of an A.P. is equal to the sum of the firs...

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  7. If ‘S’ is the sum of a finite A.P. whose first term is ‘a’ and last te...

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  8. In an A.P., of which a is the first term, if the sum of the first p te...

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  9. The sum of n terms of two arithmetic series are in the ratio of (7n + ...

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  10. The sum of n terms of arithmetic progressions are in the ratio (3n+ 8)...

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  11. 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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  12. A man saves ₹3200 during the first year, ₹ 3600 in the next year, ₹ 40...

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  13. A gentleman buys every year Bank’s certificates of value exceeding th...

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  14. A gentleman buys every year Bank’s certificates of value exceeding th...

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  15. If in an A.P. S1=6 and S7=105, prove that : S(n),S(n-3)::(n+3),(n-3)...

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  16. In an A.P., S(3)=6 and S(6)=3 prove that: 2(2n+1)S(n+4)=(n+4)S(2n+1)...

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

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  18. If ‘a’ and ‘b’ are respectively the pth and qth terms of an A.P., show...

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  19. Sum of first p,q and r terms of an A.P. are a,b,c respectively. Prove...

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  20. Find the A.M. between : 3.7 and 5.5.

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