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Sum of infinite series 1/(1*4)+1/(4*7)+1...

Sum of infinite series `1/(1*4)+1/(4*7)+1/(7*10)+......oo` is

A

`1//3`

B

`1//5`

C

`2//3`

D

none of these

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The correct Answer is:
A
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FIITJEE-PROGRESSION & SERIES -ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
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  2. If the sum of an infinite G.P and the sum of the squares of its terms...

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  3. Sum of infinite series 1/(1*4)+1/(4*7)+1/(7*10)+......oo is

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  4. The sequence a1,a2,a3,a4..... satisfies a1 =1, a2 =2 and a(n+2) = 2/a(...

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  5. If (a^n+b^n)/(a^(n-1)+b^(n-1))is the A.M. between a and b, then find t...

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  6. If x(1),x(2),….x(20) are in H.P then x(1)x(2)+x(2)x(3)+….+x(19)x(20)=

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  7. If a,b,c are three positive real numbers then the minimum value of the...

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  8. If a ,b ,c are different positive real numbers such that b+c-a ,c+a-b ...

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  9. n/((n+1)!)+((n+1))/((n+2)!)+......+((n+p))/((n+p+1)!) is equal to .

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  10. The sum of two numbers is (13)/6dot An even number of arithmetic means...

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  11. The first term of an infinite G.p is 1 and any term is equal to th...

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  12. If a(1) = 2 and a(n) - a(n-1) = 2n (n ge 2), find the value of a(1) + ...

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  13. If first and (2n-1)^th terms of an AP, GP. and HP. are equal and the...

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  14. If xi>0 i=1,2,3,...50 x1+x2...+x50=50 then the minimum value of 1/(x1)...

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  15. If H1. H2...., Hn are n harmonic means between a and b(!=a), then the ...

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  16. The largest interval for which the series 1+(x-1)+(x-1)^(2)+….oo may ...

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  17. If 1/(1^2)+1/(2^2)+1/(3^2)+ tooo=(pi^2)/6,t h e n1/(1^2)+1/(3^2)+1/(5^...

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  19. Let a1,a2,a3... be in A.P. and ap,aq,ar be in G.P. then value of aq/ap...

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  20. If H(1),H(2),H(3),…..H(2n+1) are in H.P then sum(i=1)^(2n)(-1)^(j)((H(...

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