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The sum of n ,2n ,3n terms of an A.P. ar...

The sum of `n ,2n ,3n` terms of an A.P. are `S_1S_2, S_3,` respectively. Prove that `S_3=3(S_2-S_1)dot`

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The sum of n, 2n, 3n terms of an A.P. are S_1, S_2, S_3 respectively. Prove that S_3 = 3(S_2 - S_1)

If the sum of n , 2n , 3n terms of an AP are S_1,S_2,S_3 respectively . Prove that S_3=3(S_2-S_1)

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  3. The sum of n ,2n ,3n terms of an A.P. are S1S2, S3, respectively. Prov...

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  4. In a certain A.P., 5 times the 5th term is equal to 8 times the 8th ...

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  5. If x is a positive real number different from 1, then prove that the n...

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  6. Which term of the sequence 20 ,19 1/4, 18 1/2, 17 3/4,dot is the first...

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  7. 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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  8. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)dot

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  10. Find the sum sum(r=1)^n r(r+1)(r+2)(r+3)

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  11. Find the sum 1+1/(1+2)+1/(1+2+3)+..........+1/(1+2+3+.........+n)dot

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  12. Find the sum to n terms of the series 1/(1+1^2+1^4)+2/(1+2^2+2^4)+3/(1...

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  13. Find the sum to n terms of the series 3//(1^2xx2^2)+5//(2^2xx3^2)+7//(...

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  14. Find the sum sum(r=1)^n1/((a r+b)(a r+a+b))dot

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  15. If x=sum(n=0)^ooa^n , y=sum(n=0)^oob^n , z=sum(n=0)^ooc^n , w h e r e ...

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  16. If the sum of the series sum(n=0)^oor^n ,|r|<1 is s , then find the s...

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  17. Find the sum of the series sum(k=1)^(360)(1/(ksqrt(k+1)+(k+1)sqrt(k)))

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  18. Find the sum (1^4)/(1xx3)+(2^4)/(3xx5)+(3^4)/(5xx7)+......+(n^4)/((2n-...

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  19. Find the value of 11^2+12^2+13^2++20^2dot

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  20. Find the sum 2+5+10+17+26+. . . .

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