Related InterviewSolutions

• Let `f(n)` denote the `n^(th)` terms of the seqence of `3,6,11,18,27,….` and `g(n)` denote the `n^(th)` terms of the seqence of `3,7,13,21,….` Let `F(n)` and `G(n)` denote the sum of `n` terms of the above sequences, respectively. Now answer the following: `lim_(ntooo)(f(n))/(g(n))=`A. `0`B. `1`C. `2`D. `oo`
• Let `f(n)` denote the `n^(th)` terms of the seqence of `3,6,11,18,27,….` and `g(n)` denote the `n^(th)` terms of the seqence of `3,7,13,21,….` Let `F(n)` and `G(n)` denote the sum of `n` terms of the above sequences, respectively. Now answer the following: `lim_(ntooo)(F(n))/(G(n))=`A. `2`B. `1`C. `0`D. `oo`
• Find the sum of the series `1^2+3^2+5^2+ ton`terms.
• The 15th term of the series `2 1/2+1 7/(13)+1 1/9+(20)/(23)+..` isA. `10/39`B. `10/21`C. `10/23`D. none of these
• If the first two terms of a H.P. are `2//5and12//23` respectively. Then, largest term is
• Let `a_(1),a_(2),a_(3), . . .` be a harmonic progression with `a_(1)=5anda_(20)=25`. The least positive integer n for which `a_(n)lt0`, isA. 22B. 23C. 24D. 25
• If `Sigma_(r=1)^(50) (2)/(r^2+(11-r^2))`, then the value of n is __________
• `Sigma_(r=1)^(50)(r^2)/(r^2+(11-r)^2)` is equal to ______.
• The value of the sum `Sigma_(i=1)^(20) i(1/i+1/(i+1)+1/(i+2)+.....+1/(2))` is ______________.
• Find the sum of series upto n terms `((2n+1)/(2n-1))+3((2n+1)/(2n-1))^2+5((2n+1)/(2n-1))^3+...`