Question

Find the approximate sum of the series shown below.

Answer 1

`The~expression=7((5)/(3))^((1-1))+ 7((5)/(3))^((2-1))+7((5)/(3))^((3-1))+7((5)/(3))^((4-1))+7((5)/(3))^((5-1))\\~~~~~~~~~~~~~~~~~~~~~~=7((5)/(3))^0+7((5)/(3))^1+7((5)/(3))^2+7((5)/(3))^3+7((5)/(3))^4\\~~~~~~~~~~~~~~~~~~~~~~=7(1)+(35)/(3)+7((25)/(9))+7((125)/(27)) +7((625)/(81))\\~~~~~~~~~~~~~~~~~~~~~~=7+(35)/(3)+(175)/(9)+(875)/(27) +(4375)/(81) \\`

`=(7(81))/(81)+(35(27))/(3(27)) +(175(9))/(9(9)) +(875(3))/(27(3))+(4375)/(81)\\=(7(81)+35(27)+175(9)+875(3)+4375)/(81)\\=(10087)/(81)\\=124.53086~(approximate)`