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Find the sum: (i) (4-(1)/(n))+(4-(2)/...

Find the sum:
`(i) (4-(1)/(n))+(4-(2)/(n))+(4-(3)/(n))`+…up to n terms
(ii) `(a-b)/(a+b)+(3a-2b)/(a+b)+(5a-3b)/(a+b)`+…….to 20 terms

Text Solution

Verified by Experts

The correct Answer is:
`(i) (7n-1)/(2) (ii) (10)/(a+b)(40a-21b)`
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VK GLOBAL PUBLICATION-ARITHMETIC PROGRESSIONS -PROFICIENCY EXERCISE ( SHORT ANSWER QUESTION II)
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  3. The sum of three terms of an A.P. is 21 and the product of the first ...

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  4. If the sum of the first n terms of an AP is 4n - n^(2), what is the 10...

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  5. If the nth term of an AP is (2n +1) then the sum of its first three te...

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  6. The sum of first six terms of an A.P. is 42. The ratio of its 10th ter...

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  8. Find the sum of the AP 3, 9/2 , 6,15/2 ...... to 25 terms.

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  10. Solve the equation -4+(-1)+2+ … +x =437.

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  11. The first and the last terms of an AP are 17 and 350 respectively. I...

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

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  13. Find the sum of the first 25 terms of an A.P. whose n t h term is ...

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  14. Yasmeen saves Rs. 32 during the first month, Rs. 36 in the second mont...

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  15. Find the first term of an AP having 9 terms whose last term is 28 and ...

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

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  17. Find the value of the middle most term(s) of the AP: -15, -1 1 ,..... ...

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  18. Find the sum: (i) (4-(1)/(n))+(4-(2)/(n))+(4-(3)/(n))+…up to n term...

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  19. Which term of the AP -2,-7,-12, … will be -77 ? Find the sum of this A...

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  20. Split 207 into three parts such that these are in AP and the product o...

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