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The 12th term of an AP is -13 and the su...

The 12th term of an AP is -13 and the sum of its first four terms is 24. Find the sum of its first 10 terms.

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The correct Answer is:
`S_(10) = 0`
`a +11d = -13 " "…(i) " and "(4)/(2)(2a +3d) = 24 rArr 2a+ 3d = 12. " " …(ii)`
Solve (i) and (ii), we get a = 9 and d =-2.
Now, find `S_(10)`
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RS AGGARWAL-ARITHMETIC PROGRESSION-Exercise 5C
  1. The first and the last terms of an A.P. are 5 and 45 respectively. If ...

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  2. In an A.P., the first term is 22, n t h term is -11 and the sum ...

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  3. The 12th term of an AP is -13 and the sum of its first four terms is 2...

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  4. The sum of the first 7 terms of an AP is 182. If its 4th and 17th term...

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  5. The sum of the first 9 terms of an AP is 81 and that of its first 20 t...

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  6. If the sum of first 7 terms of an AP is 49 and that of 17 terms is ...

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  7. Two Aps have the same common difference. If the first terms of these A...

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  8. In an AP, the sum of first ten terms is -150 and the sum of its next t...

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  9. The 13th term of an AP is 4 times its 3rd term. If its 5th term is 16 ...

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  10. The 16th term of an AP is 5 times its 3rd term. If its 10th term is 41...

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  11. (i) An AP 5, 12, 19,.. has 50 terms. Find its last term. Hence, find t...

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

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  13. The sum of the 4th and the 8 the terms of an AP is 24 and the sum of i...

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  14. The sum of first m terms of an AP is (4m^2-m) If its nth term is 107, ...

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  15. The sum of first q terms of an AP is (63q -3q^(2)). If its pth term is...

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  16. Add number of terms of the "A*P*-12-9,-6,.....If 1 is added to each te...

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  17. Sum of the first 14 terms of an AP is 1505 and its first term is 10. F...

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  18. Find the sum of first 51 terms of an AP whose second and third terms ...

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  19. In a school, students decided to plant trees in and around the school ...

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  20. In a potato race, a bucket is placed at the starting point, which is 5...

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