Answer:
false
Step-by-step explanation:
<em><u>The explicit equation for the nth term of the geometric sequence 3584, 896, 224 is:</u></em>
<em><u>Solution:</u></em>
Given that we have to find the explicit equation for nth term of geometric sequence
<em><u>Given sequence is:</u></em>
3584, 896, 224
A geometric sequence has a common ratio
Let us find the common ratio. Divide each term by the previous term.
Thus the common ratio is 0.25
<em><u>The formula for nth term of geometric sequence is given as:</u></em>
Where,
is the nth term of sequence
a is the first term of sequence
r is the common ratio
Here in given sequence 3584, 896, 224
first term = a = 3584
common ratio = r = 0.25
Therefore,
"n" is a natural positive number greater than or equal to 1
Thus the explicit equation to find nth term is found
The value of Amanda's investment will be given by:
A=P(1+r)^n
where:
Principle, P=$1000
rate,r=3.5%
time,n=4+9/12=4 3/4=4.75 years
thus
A=1000(1+3.5/100)^4.75
A=$1177.52
The answer to your problem is 64