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If the sum to infinity to the series 1+4...

If the sum to infinity to the series `1+4x+7x^2+10x^3+.....` is 35/16 the value of x is

A

44201

B

19/7

C

44396

D

none of these

Text Solution

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The correct Answer is:
B
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PATHFINDER-PROGRESSION AND SERIES -QUESTION BANK
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  2. Find the sum of first n terms of the series 3/1^2+5/(1^2+2^2)+7/(1^2+2...

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  3. If the sum to infinity to the series 1+4x+7x^2+10x^3+..... is 35/16 th...

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  4. Consider an AP with first term a and the common difference 'd' Let Sk...

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  5. If p,q,r are three positive real number are in AP , then the roots of ...

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  6. The solution of the equation (8)^((1+[cosx absdivcos^2xabsdiv cos^3x]d...

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  7. If (1+x)(1+x^2)(1+x^4)....(1+x^128)=sum(r=0)^nx^r then n is

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  8. If angt1 for all ninN,then log(a2)a1+log(a3)a2+.....+log(an)a(n-1)+log...

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  9. Let Sk=underset(nrarrinfty)limsum(i=0)^n1/(k+1)^i. Then sum(k=1)^nkSk...

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  10. If a1,a2,a3...an are in HP and f(k)=sum(r=1)^nar-ak, then a1/(f(1)),a...

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  11. sum(r=1)^nr^2-sum(m=1)^nsum(r=1)^mr is equal to

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  12. The sum of the integer from 1 to 100 which is not divisible by 3 or 5 ...

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  13. If ab^2c^3,a^2b^3c^4,a^3b^4c^5 are in AP (a,b,cgt0) thgen the minimum...

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  14. If the sum of n terms of the series 1/1^3+(1+2)/(1^3+2^3)+(1+2+3)/(1^3...

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  15. The coefficient of x^(n-2) in the polynomial (x-1)(x-2)(x-3)....(x-n) ...

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  16. The series of natural number is divided into groups as follows , (1), ...

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  17. The sum of 10 terms of the series (x+1/x)^2+(x^2+1/x^2)^2+(x^3+1/x^3)...

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  18. If the sequence 1,2,2,4,4,4,4,,8,8,8,8,8,8,8,8,.... where n consecutiv...

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  19. Sum of n terms of the series (2n-1)+2(2n-3)+3(2n-5)+.... is

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  20. The cubes of the natural numbers are grouped as 1^3,(2^3,3^3),(4^3,5^3...

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