Find the sum of the finite geometric sequence whose first te

Find the sum of the finite geometric sequence whose first term is 1.4. whose ratio is 0.5. and which has five terms. The sum is (Type an integer or decimal rounded to five decimal places as needed.)

Solution

a = 1.4

r = 0.5

n=5

sum = a(1-r^n)/(1-r)

      = 1.4 * (1 – (0.5)^5) / (1-0.5)

      = 1.4 * (0.96875) / (0.5)

      = 2.7125

Answer: 2.7125