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If m times the m^(t h) term of an A.P. i...

If `m` times the `m^(t h)` term of an A.P. is equal to `n` times its `n^(t h)` term, show that the `(m+n)^(t h)` term of the A.P. is zero.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. If pth, qth, and rth terms of an A.P. are a ,b ,c , respectively, the...

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  2. Show that the sum of (m+n)^(t h)a n d\ (m-n)^(t h) term of an A.P. is ...

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  3. 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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  4. 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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  5. If the mth term of an A.P. be 1//n and nth term be 1//m then show that...

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  6. Determine the number of terms in the terms in the A.P. 3,7,11…407. ...

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  7. How many numbers of two digits are divisible by 7?

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  8. Show that there is no A.P. which consists of only distinct prime nu...

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  9. In the arithmetic progressions 2,5,8,… upto 50 terms and 3,5,7,9… upto...

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  10. Find: 10 t h term of the A.P. 1,4,7,10..

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  11. Find: nth term of the A.P. 13,8,3,-2,…

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  12. Find: 18th term of the A.P. sqrt(2),\ 3sqrt(2),\ 5sqrt(2) ddot

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  13. Evaluate (sqrt(3)-sqrt(2))^6+(sqrt(3)+sqrt(2))^6dot

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  14. If the sequence an is A.P., show that a(m+n)+a(m-n)=2amdot\

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  15. Which term of the A.P. 3,8,13… is 248?

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  16. Which term of the A.P. 84,80,76… is 0?

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  17. Which term of the A.P. 4,9,14… is 254?

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  18. Is 68 as term of the A.P. 7,10,13,…?

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  19. Is 302 a term of the A.P. 3,8,13,…?

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  20. Which term of the sequence 24 ,\ 23 1/4,\ 22 1/2,\ 21 3/4 is the first...

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