Question

find the sum of series 3^(1/2)+3+3*3^(1/2)+.... n terms

Answer 1

\[1+\sqrt{3}+3+3\sqrt{3}+9+9\sqrt{3}+....... infinite\]

Answer 2

do you realize both of these are geometric series ?
if yes, can you tell me common ratio for both ?

Answer 3

yup i realise it but as much as i remember sum of infinite series is 1/(1-r) where \[\left| r \right|\le1\]

Answer 4

here r=\[\sqrt{3}\]

Answer 5

and \[\sqrt{3}>1\]

Answer 6

yes, so that means the sum of this series is INFINITE too!

Answer 7

but do you notice that r>1 which means formula is not applicable

Answer 8

yes,
when r>1 , sum is infinite when number of terms are infinite

simply because sum goes on incrasing...

Answer 9

ok thats why the answer was not matching thanks by the way
so it means answer is simply infinte

Answer 10

yes!