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The 4th term of an A.P. is equal to 3 ti...

The 4th term of an A.P. is equal to 3 times the first term and `7^(th)` term exceeds twice the 3rd term by 1. Find the first term and common difference.

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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. The first term of an A.P. is -4 and 10th term is 14. Determine the 30t...

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  2. In an A.P., the mth term is 1/n and the nth term is 1/m, find the (mn)...

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  3. The 4th term of an A.P. is equal to 3 times the first term and 7^(th) ...

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  4. The 2nd, 31st and last terms of an A.P. are 7 3/4, 1/2 and -6 1/2 resp...

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  5. If the pth,term of an A.P. is q and the qth is p, then the rth term is

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  6. In an A . P , if mth Term is n and nth term is m , where m nen , f...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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