Since the sequence is geometric, there is some constant

such that the sequence is recursively given by

By this definition, you can recursively substitute into the right hand side the definition for

to find an explicit formula for the

th term.

You know the second term, which means you can find

:

So, the 7th term of the sequence is
$157.50 would be the amount that you earn in interest
Answer:

Step-by-step explanation:
The nth term for the geometric sequence is given by:

where,
is the first term
r is the common ratio
n is the number of terms.
As per the statement:
For the geometric sequence of
and r=2
We have to find 
for n = 5;

Substitute the given values we have;

⇒
Therefore, the value of
is, 32
Step-by-step explanation:
Morning is 4 hr 15 min
afternoon is 4 hour 15 min
together is 8 hour 30 min
8.5*14 = 119 dollars