Question

Please help me with this math problem

Answer 1

Explanation:

given that

first term (a1) = 100

`a_(n + 1) = (1)/(2) a_(n) \\ (a_(n + 1))/(a_(n )) = (1)/(2)`

common ratio = 1/ 2

the series in Geometric Progression

the first five terms are

a1 = 100

a2 = 100/2 = 50

a3 = 50/ 2 = 25

a4 = 25/ 2 = 12.5

a5 = 6.25