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Two Aps have the same common difference....

Two Aps have the same common difference. If the first terms of these Aps be 3 and 8 respectively, find the difference between the sums of their first 50 terms.

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The correct Answer is:
250
Required difference ` = (50)/(2) * [ 2 xx 8 + 49d] - (50)/(2) * [2 xx 3 +49d] = 400-150 = 250.`
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RS AGGARWAL-ARITHMETIC PROGRESSION-Exercise 5C
  1. The sum of the first 9 terms of an AP is 81 and that of its first 20 t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. There are 25 trees at equal distances of 5 metres n a line with a well...

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  18. A sum of Rs 700 is to be used to give seven cash prizes to students...

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  19. A man saved ₹ 33000 in 10 months. In each month after the first, he sa...

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  20. A man arranges to pay a debt of Rs 3600 in 40 monthly installments whi...

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