Answer:
a) 
b) 
c) 
Step-by-step explanation:
a) Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:

The first five terms are: 
b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:

The first five terms are: 
c) Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:

The first five terms are: 
161.5 miles / 3.5 hrs = 46.143 mph
Answer:
<u>D) (f o g)(x) = 10x² - 60x + 93</u>
Step-by-step explanation:
f(x) = 10x² + 3
g(x) = x - 3
⇒ (f o g)(x)
⇒ f(x - 3)
⇒ f(x - 3) = 10(x - 3)² + 3
⇒ f(x - 3) = 10(x² - 6x + 9) + 3
⇒ f(x - 3) = 10x² - 60x + 90 + 3
⇒ <u>(f o g)(x) = 10x² - 60x + 93</u>