Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:

Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by

where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

now substituting r = 2 and a₁ = 7 in the nth term


Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

Answer: $3,166
Step-by-step explanation:
Answer:
The given equation is NOT justified.
Step-by-step explanation:
Here, the given equation is
= 
Now, here Consider the left hand side and simplifying the left side by operating on the like terms,
⇒
= 
=
Here, Left side of equation ≠ Right side of the equation
Hence,
≠ 