Answer: 
Step-by-step explanation:
The nth term for a geometric sequence is given by :-
(1)
We are given that The first term in a geometric sequence is 54. i.e. a=54
5th term=
(2)
Put n=5 and a= 54 in (1), we get
(3)
From (2) and (3), we have

Explicit form for the geometric sequence: 
<h2>
Answer:</h2>
<h2>12 miles</h2>
Step-by-step explanation:
Given information :
Mr. Gonzalez drove 30 miles in March. In January, she drove 1/5 as much as in March.
30 ÷ 5 = 6 miles in January
in JanuaryShe drove 2 times as many miles in February as she did in January. In January, she drove 30 miles.
6 x 2 = 12 miles in February
<h3>
Answer: True</h3>
Explanation:
The area of the circle with radius 10 is...
A = pi*r^2
A = pi*10^2
A = 100pi
The surface area of the sphere with radius 5 is...
SA = 4pi*r^2
SA = 4pi*5^2
SA = 100pi
Both results are the same, so the claim is true. We can think of surface area as the amount of wrapping paper needed to cover the sphere.
Answer:
x > -21/4
Step-by-step explanation: