Answer:
[tex]\frac{45}{4096}[/tex]
Step-by-step explanation:
1) q=90/180=45/90=...=1/2;
2) the formula of the n-th term of the given sequence is:
[tex]a_n=a_1*q^{n-1};[/tex]
3) according to the formula 15th term is:
[tex]a_{15}=a_1*q^{15-1}=180*\frac{1}{2} ^{14}=\frac{180}{16384} =\frac{45}{4096}[/tex]
or ≈0.011.
