the second and fifth of a sequence are 13.44 and 5.67 respectivley. the serires has first term and a common ratio r. what is the sum of infinity of the series

If, a is 1st term and r is the common ratio then, second term is ar = 13.44 and $$ fifth\:term\:is\:ar^{4\:}=5.67 $$ dividing above two values we get, $$ r^3=\left(\frac{5.67}{13.44}\right)\:\:,\:On\:solving\:we\:get\:r=0.75 $$ from the value of r we can get a = 17.92 $$ we\:know\:that,\:sum\:of\:infinite\:GP\:with\:r<1=\frac{a}{1-r} $$ on putting above values we get, sum = 71.68