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Show that the sum of (m+n)^(th) and (m -...

Show that the sum of `(m+n)^(th)` and `(m -n)^(th)` terms of an A.P. is equal to twice the ` m^(th)` term.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. In an A . P , if mth Term is n and nth term is m , where m nen , f...

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  2. If pth term of an A.P. is c and the qth term is d, what is the rth ter...

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  3. Show that the sum of (m+n)^(th) and (m -n)^(th) terms of an A.P. is eq...

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  4. For the A.P., a1, a2,a3, ............., if a4/a7= 2/3, find a6/a8.

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  5. If a1, a2,a3,..........., an be an A.P. of non-zero terms, prove that ...

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  6. If a1, a2, ............, an are in A.P. and ai >0 for all i , prove th...

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  7. If a1, a2,a3,..........., an are in A.P. with common difference d, pro...

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  8. If m times the mth term is equal to n times the nth term of an A.P. pr...

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  9. Find the sum of indicated number of terms of the following A.P.’s : ...

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  10. Find the sum of indicated number of terms of the following A.P.’s : ...

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  11. Find the sum of indicated number of terms of the following A.P.’s : ...

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  12. Find the sum of indicated number of terms of the following A.P.’s : ...

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  13. Find the sum of indicated number of terms of the following A.P.’s : ...

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  14. Out of k, a, n, d and Sn, determine the ones that are missing from the...

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  15. Out of l, a, n, d and Sn, determine the ones that are missing from the...

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  16. How many terms of the sequence 18, 16, 14.... should be taken so that ...

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  17. How many terms of the sequence -12,-9, -6, -3, ..... must be taken to ...

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  18. How many terms of the sequence -6,(-11)/2, -5,.... must be taken to ma...

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  19. Find the sum of the series : 72 + 70 + 68 +....+ 40?

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  20. Find the sum of first n natural numbers.

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