Answer:
S(8)=20
Step-by-step explanation:
Step 1: find the common ratio (constant r)
T(2)/T(1)
=16/4 =4
Step 2: find the first term (constant a)
=4
Step 3: summation of every term in the sequence
By the formula [tex]S(n)=\frac{a(r^{2}-1 )}{r-1}[/tex]
Substitute a and r
We got [tex]S(8)=\frac{4(4^{2}-1 )}{4-1}[/tex]
[tex]S(8)=\frac{4(15)}{3}[/tex]
[tex]S(8)=\frac{60}{3}[/tex] [tex]S(8)=20[/tex]
