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The sum of first 7 terms of an A.P. is 1...

The sum of first 7 terms of an A.P. is 10 and that of next 7 terms is 17. Find the progression.

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To solve the problem, we need to find the arithmetic progression (A.P.) given that the sum of the first 7 terms is 10 and the sum of the next 7 terms is 17. ### Step-by-Step Solution: 1. **Understanding the Problem**: We know that the sum of the first 7 terms of an A.P. is given by: \[ S_n = \frac{n}{2} [2a + (n-1)d] ...
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RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. Solve: 1+4+7+10++x=590.

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  2. How many terms are there in the A.P. whose first and fifth terms are ...

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  3. The sum of first 7 terms of an A.P. is 10 and that of next 7 terms is ...

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  4. The third term of an A.P. is 7 and the seventh term exceeds three time...

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  5. The first term of an A.P.is 2 and the last term is 50. the sum of all ...

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  6. The number of terms of an A.P. is even, the sum of odd terms is 24, of...

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  7. If in an A.P, Sn=n^2p and Sm=m^2p, then Sp is equal to

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  8. If 12th term of an A.P. is -13 and the sum of the first four terms i...

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  9. If the 5th and 12th terms of an A.P. are 30 and 65 respectively, wha...

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  10. Find the sum of n terms of an A.P. whose kth terms is 5k+1.

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  11. Sum of all two digit numbers which when divided by 4 yield unity as re...

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  12. If the sum of a certain number of terms of the AP 25,22,19... is 116. ...

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  13. How many terms of the A.P. -6, -(11)/2,\ -5,... are needed to give the...

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  14. In an A.P. the first term is 2 and the sum of the first five terms is ...

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  15. If Sn=n P+(n(n-1))/2Q ,w h e r eSn denotes the sum of the first n term...

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  16. The sum of n terms of two arithmetic progressions are in the ratio 5n+...

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  17. If 2/3, k ,5/8 are in A.P., find the value of kdot

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  18. If 1/a ,1/b ,1/c are in A.P. prove that: (b+c)/a ,(c+a)/b ,(a+b)/c are...

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  19. If a,b,c are in A.P., then show that (i) a^2(b+c), b^2(c+a), c^2(a+b) ...

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  20. If a, b, c are in A.P, then show that: b+c-a , c+a-b , a+b-c are in A....

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