Answer:
Step-by-step explanation:
Given:
Fifth term of a geometric sequence = 
Common ratio (r) = ¼
Required:
Formula for the nth term of the geometric sequence
Solution:
Step 1: find the first term of the sequence
Formula for nth term of a geometric sequence = 
, where:
a = first term
r = common ratio = ¼
Thus, we are given the 5th term to be ¹/16, so n here = 5.
Input all these values into the formula to find a, the first term.
Cross multiply
Divide both sides by 16
Step 2: input the value of a and r to find the nth term formula of the sequence
nth term =
nth term = 
<h3>
Answer: Choice A 
</h3>
The R stands for "rotation". The "O" as a small subscript means "origin" which is where the x and y axis cross. The 90 degrees means we rotate 90 degrees counterclockwise. This is equivalent to 270 degrees clockwise, but writing 
is not correct as we don't rotate 270 degrees counterclockwise.
Answer:
32
Step-by-step explanation:
Multiply both sides by 8.
y/8 = 4
y/8 × 8 = 4 × 8
y = 32
<span>Joe got an hourly raise at work and his new rate will be $10.25 per hour.
</span>If r represents the amount of the raise, then the following equation can be written:
X=10.25-r
where X is <span>Joe’s hourly rate was before his raise.
Joe was paid (10.25-r) USD per hour before he got a raise.</span>
