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If the sum of n terms of an A.P. is 3n^2...

If the sum of `n` terms of an A.P. is `3n^2+5n` and its mth term is 164, find the value of `mdot`

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To solve the problem step by step, we will follow the given information about the arithmetic progression (A.P.). ### Step 1: Understand the sum of n terms of an A.P. The sum of the first n terms of an A.P. is given by: \[ S_n = 3n^2 + 5n \] ### Step 2: Use the formula for the sum of n terms The formula for the sum of the first n terms of an A.P. is: ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. The sum of the first four terms of an A.P. is 56. The sum of the last ...

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  2. If the sum of n terms of an A.P. is (p n+q n^2) , where p and q are...

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  3. If the sum of n terms of an A.P. is 3n^2+5n and its mth term is 164, f...

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  4. Find the sum of n terms of the sequence (an),w h e r ean=5-6n ,n in N...

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  5. If the m^(t h) term of an A.P. is 1/n a n d\ t h e\ n^(t h)t e r m\ i ...

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  6. How many terms of the series 54,51, 48,.. be taken so that their sum i...

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  7. solve: 1 + 6 + 11 + 16 +.........+ x = 148

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

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  9. If the sum of first m terms of an A.P. is the same as the sum of its f...

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  10. The ratio of the sum of ma n dn terms of an A.P. is m^2: n^2dot Show t...

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  11. The interior angles of a polygon are in A.P. the smallest angle is 120...

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  12. Prove that a sequence in an A.P., if the sum of its n terms is of the ...

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  13. If the first term of an A.P. is 2 and the sum of first five terms is ...

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  14. The sum of n terms of two arithmetic progressions are in the ratio (3n...

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  15. Let Sk be the sum of first k terms of an A.P. What must this progressi...

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  16. Find the sum of the following arithmetic progression: 50,46,42,… upto ...

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  17. Find the sum of the following series : (i) 1,3,5,7...upto 12 terms.

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  18. Find the sum of the following arithmetic progression: 3,9/2,6,15/2,…...

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  19. Find the sum of the following arithmetic progression: 41,36,31,…….to 1...

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  20. Find the sum of the following arithmetic progression: a+b ,\ a-b ,\...

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