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The sum of first 6 terms of an arithmeti...

The sum of first 6 terms of an arithmetic progression is 42. The ratio of its 10th term to its 30th term is `1:3`. Calculate the first and 13th term of an AP.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. If 1/(x+2),1/(x+3),1/(x+5) are in A.P. Then, x=

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  2. Find the number of natural numbers between 101 and 999 which are di...

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  3. The sum of first 6 terms of an arithmetic progression is 42. The ratio...

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  4. Find the sum of first 20 terms of an A.P., in which 3rd term is 7 a...

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  5. The sum of 5th and 9th terms of AP is 30. If its 25th term is three...

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  6. The sum of three numbers in A.P. is 12 and the sum of their cubes is ...

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  7. In an A.P., the sum of first n terms is (3n^2)/2+(5n)/2dot Find its 25...

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  8. If Sn , the sum of first n terms of an A.P., is given by Sn=5n^2+3n , ...

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  9. Find the sum of all natural numbers between 250 and 1000 which are ...

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  10. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

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  11. If m times the m^(t h) term of an A.P. is equal to n times its n^(t h)...

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  12. If the p^(t h) term of an A.P. is q and the q^(t h) term is p , prove ...

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  13. If mth term of an AP is 1/n and its nth term is 1/m , then show that i...

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  14. For the following arithmetic progressions write the first term and ...

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  15. Is 184 a term of the sequence 3,7,11, ... ?

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  16. If the 10th term of an A.Pis 52 and 17th term is 20 more than the 1...

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  17. If the 8th term of an A.P. is 31 and the 15th term is 16 more than ...

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  18. Write the first five terms of each of the following sequences whose n ...

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  19. Let a sequence be defined by a1=1,a2=1 and an=a(n-1)+a(n-2) for al...

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  20. Find the next five terms of each of the following sequences given by: ...

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