Step-by-step explanation:
given that
first term (a1) = 100
[tex]a_{n + 1} = \frac{1}{2} a_{n} \\ \frac{a_{n + 1}}{a_{n }} = \frac{1}{2} [/tex]
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
