The fifth term of an exponential sequence GP is greater than the fourth term by 13 whole number 1over 2 and the fourth term is greater than the third term by 9.find the answer to the common ratio

Answer 1

"by 13 whole number 1over 2"
I will assume you meant 9 1/2 or 19/2

ar^4 - ar^3 = 19/2 ---> ar^3(r - 1) = 19/2
ar^3 - ar^2 = 9 ---> ar^2(r - 1) = 9
divide those last two equations
r = 19/2 ÷ 9 = 19/18

Answer 2

"13 whole number 1over 2"
means 13 1/2 to me. ymvm