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The third term of an A.P. is 7 and the s...

The third term of an A.P. is 7 and the seventh term exceeds three times the third term by 2. Find the first term, the common difference and the sum of first 20 terms.

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RD SHARMA ENGLISH-ARITHMETIC PROGRESSIONS-All Questions
  1. How many terms are there in the A.P. whose first and fifth terms are ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. 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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  18. If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" a...

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

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  20. If a, b, c are in A.P, then show that: \ b c-a^2,\ c a-b^2,\ a b-c^2 a...

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