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it is known for x ne 1 that 1+x+x^(2)+"…...

it is known for `x ne 1` that `1+x+x^(2)+"….."+x^(n-1) = (1-x^(n))/(1-x)`, hence find the sum of the series `S = 1+2x+3x^(2)+"….."+(n+1)x^(n)`.

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The correct Answer is:
`((n+)x^(n+2)-(n+1)x^(n+1)+1)/((1-x)^(2))`
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RESONANCE ENGLISH-DPP-QUESTION
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  2. The coefficient of x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1) 21 b. 25 c. 26...

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  3. it is known for x ne 1 that 1+x+x^(2)+"….."+x^(n-1) = (1-x^(n))/(1-x),...

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  4. Match the following :

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  5. How many even numbers are there with three digits such that if 5 is...

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  7. Number of natural numbers between 100 & 1000 such that at least one of...

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  8. A class consists of 4 boys and g girls. Every Sunday five students, in...

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  9. Let A,B,C,D be collinear points in that order. Suppose AB: CD = 3:2 an...

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  10. If A & B are the points (-3,4)a n d(2,1) , then the co-ordinates of th...

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  11. If a triangle A B C ,A-=(1,10), circumcenter -=(-1/3,2/3), and orthoce...

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  12. If the 6th term in the expansion of(1/(x^(8/3))+x^2(log)(10)x)^8 is 56...

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  13. If the second term of the expansion [a^(1/(13))+a/(sqrt(a^(-1)))]^n is...

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  14. The co-efficient of x in the expansion of (1-2x^3+3x^5)(1+1/x)^8 is:

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  15. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

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  16. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

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  17. STATEMENT - 1 : The term independent of x in the expansion of (x+1/x+2...

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  18. If the roots of the equation x^2-2a x+a^2-a-3=0 are real and less than...

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