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Sum the following series : (a-b)^(2),(...

Sum the following series :
`(a-b)^(2),(a^(2)+b^(2)),(a+b)^(2)+ . . .` to n terms.

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The correct Answer is:
`S_(n)=n[(a-b)^(2)+(n-1)ab]`
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CENGAGE-PROGRESSIONS -TEST YOURSELF (Level 2)
  1. Sum the following series : 1+4+7+ . . . to 40 terms

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  2. Sum the following series : -4+4+12+ . . . to 20 terms

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  3. Sum the following series : (a-b)^(2),(a^(2)+b^(2)),(a+b)^(2)+ . . . ...

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  4. How many terms of the series 9+12+15+ . . . must be taken to make the ...

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  5. Find three numbers in AP whose sum is 15 and the sum of the squares of...

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  6. Examine whether the following form a geometric progression. If so, fin...

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  7. Examine whether the following form a geometric progression. If so, fin...

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  8. Find the 8th term of the series -1//3,1//2,-3//4, . . .

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  9. Find the 5th and 8th terms of the series 3,6,12, . . .

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  10. Find the 10th and 16th terms of the series 256,128, 64, . . .

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  11. Which one of the following is in HP ? 1,1/4,1/7,1/10

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  12. Which one of the following is in HP ? 1/3,1/6,1/12,1/24

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  13. Which one of the following is in HP ? 2,1/2,1/7,1/5

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  14. Write the nth term and the term indicated against each case : 1/a,(1...

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  15. Write the nth term and the term indicated against each case : 4/7,12...

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  16. Write the nth term and the term indicated against each case : 2,1 3/...

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  17. Find the nth term and the term indicated against each sequences : s...

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  18. Find the nth term and the term indicated against each sequences : 0...

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  19. Find the nth term and the term indicated against each sequences : 4...

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  20. Find the nth term and the term indicated against each sequences : 1...

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