Elitmus
Exam
Numerical Ability
Algebra
The sum of series 1+1(1+1/n)+3(1+1/n)2+…. Is equal to
Read Solution (Total 6)
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- 1+1,3,5,7............(1+1/n)1,2,3,.......
1+(1+(n-1)2)(1+1/n)n
1+(2n-1)(n+1)
1+2n^2+2n+n-1
2n^2+n
n(2n+1) - 8 years agoHelpfull: Yes(2) No(4)
- 1+1,3,5,7___(1+1/n)1,2,3,4,5___
1+(1+(n-1)2)(1+1/n)n
1+(2n-1)(n+1/n)(n)
1+(2n-1)(n+1)
1+2n*n+n-1
2n*n+n ANS - 8 years agoHelpfull: Yes(1) No(1)
- we can write in general form
1+sum((2n-1)(1+1/n)n)
1+sum(2n^2+n-1)
1+[2[n(n+1)(2n+1)]/6]+[n(n+1)/2]-n - 8 years agoHelpfull: Yes(1) No(0)
- s= 1+(1+1/n)+3(1+1/n)^2+..........
(1+1/n)s= 0+(1+1/n)+(1+1/n)^2+3(1+!/n)^3+......
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-s/n=1+2(1+1/n)^2(-1/n)
then
s=2(n+1)^2-1 - 8 years agoHelpfull: Yes(0) No(0)
- how many terms and what is n
- 8 years agoHelpfull: Yes(0) No(0)
- 2n2 + 3n + 2
- 7 years agoHelpfull: Yes(0) No(1)
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