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

If the `p^(t h)` term of an A.P. is `q` and the `q^(t h)` term is `p ,` prove that its `n^(t h)t e r mi s(p+q-n)dot`

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. The sum of the first p , q , r terms of an A.P. are a , b , c respecti...

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  2. 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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  3. 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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  4. If mth term of an AP is 1/n and its nth term is 1/m , then show that i...

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

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

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

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

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

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

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

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  12. Find the indicated terms in each of the following sequences whose nth ...

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  13. Write the first five terms of the sequence defined by an=(-1)^(n-1). 2...

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  14. Which term of the A.P. 3,10,17, ... will be 84 more than its 13th t...

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  15. Let sequence by defined by a1=3,an=3a(n-1)+1 for all n >1

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  16. A sequence is defined by an=n^3-6n^2+11 n-6. Show that the first three...

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  17. Which term of the arithmetic progression 8,14,20,26, ... will be 72 ...

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  18. Find the term of the arithmetic progression 9,12,15,18, ... which is 3...

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  19. If the n^(t h) term of an A.P. is (2n+1), find the sum of first n term...

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  20. Two A.P’s have the same common difference. The difference between thei...

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