Determine whether the sum of all the ter...

Determine whether the sum of all the terms in the series is finite. In case it is finite find it.
`(3)/(5) , ( - 9)/( 25) ( 27)/(125), ( - 81)/(625) ....`

Verified by Experts

The correct Answer is:

`=3/8`

Similar Questions

Explore conceptually related problems

Determine whether the sum of all the terms in the series is finite. In case it is finite find it. (1)/(3),(1)/( 3 ^(2)), (1)/(3 ^(3)),...

Determine whether the sum to infinity of the following G.P.'s exist. In the case they exist, find them: 1, 3/2, 9/4, 27/8,…

Determine whether the sum to infinity of the following G.P.'s exist. In the case they exist, find them: 1, -3, 9, -27, 81…

Determine whether the sum to infinity of the following G.P.'s exist. In the case they exist, find them: 1, 2, 4, 8, 16…

Determine whether the sum of infinity of the following G.P.s exist, it exist find them. -3, 1, -1/3 , 1/9 , …….

Determine whether the sum to infinity of the following G.P.'s exist. In the case they exist, find them: 5, -5/2, 5/4, -5/8, 5/16,…

Determine whether the sum to infinity of the following G.P.'s exist. In the case they exist, find them: 4, 4/3, 4/9, 4/27, 4/81…