the story of infinity

Sum the series to infinity : 16 ,-8,4 , .....

Find the sum to infinity of GP -5/4, 5/16,-5/64......

Sum the series to infinity : 1 +(1)/(2) +(1)/(4) +(1)/(8) + ...

Find the sum to infinity of the series 2+1+(1)/(2)+...oo.

Sum up the series (2)/(3) + (5)/(9) + (8)/(27)+(11)/(81) + ..... to n terms and hence find the sum to infinity . Sum up to infinity given that x lt numerically .

The common ratio of a GP is -(4)/(5) and the sum to infinity is (80)/(9) . The first term of GP is

The first term of a G.P. is 2 more than the second term and the sum to infinity is 50. Find the G.P.

Sum the series to infinity : sqrt(2)- (1)/(sqrt(2))+(1)/(2(sqrt(2)))-(1)/(4sqrt(2))+ ....

Find the sum to infinity of the G.P. (i) 2, (2)/(3), (2)/(9),…. (ii) 5, - 1, (1)/(5), …

Find the sum to infinity of the following geometric progression: 3,-1, 1/3, - 1/9, ……..