The sum of the series 5.05+1.212+0.29088+...........∞ is
6.93378
6.87342
6.74384
6.64474
Explanation for correct option
Given: 5.05+1.212+0.29088+...........∞
Let r be the common ratio
r=1.2125.05⇒r=0.24
5.05+1.212+0.29088+........... is a geometric progression with first term a=5.05 and common ratio r=0.24
sum of geometric progression=arn-1r-1
sum of 5.05+1.212+0.29088+...........∞=5.051-0.24
5.05+1.212+0.29088+...........∞=5.050.76
5.05+1.212+0.29088+...........∞=6.644736842105263
5.05+1.212+0.29088+...........∞≈6.64474
Hence,OptionD is correct.