Answer:
a. a[1] = 3; a[n] = 2a[n-1]
b. a[n] = 3·2^(n-1)
c. a[15] = 49,152
Step-by-step explanation:
Each term of the given sequence is 2 times the previous term. (This description is the basis of the recursive formula.) That is, the terms of the given sequence have a common ratio of 2. This means the sequence is geometric, so the formulas for explicit and recursive rules for a geometric sequence apply.
The first term is 3, and the common ratio is 2.
<h3>(a)</h3>
The recursive rule is ...
a[1] = 3
a[n] = 2×a[n-1]
__
<h3>(b)</h3>
The explicit rule is ...
a[n] = a[1]×r^(n-1)
a[n] = 3×2^(n-1)
__
<h3>(c)</h3>
The 15th term is ...
a[15] = 3×2^(15-1) = 3×2^14
a[15] = 49,152
Answer:200,000
Step-by-step explanation:
If it increases 5% every year in 20 years it will Have increased 100% therefore the number would have doubled
Answer:
y=4x+27
Step-by-step explanation:
If a line is parallel, it would have the same slope, so you already have that.
Now, you need the y-intercept of the second line. You already have one point, so use that point and the slope to find the y-int. What you can do (since you know you have to go up 4 and over 1, add a 1 to the -5 until you get to zero. your y-int would be 7+20 since you've gone up 5x4)
your final answer (i think) should be y=4x+27, but I could be wrong :))
The answer is 2.76 because you would do 69 divided by 25
We would multiply $30 by 5% to first find 5%
5% = 0.05
$30 x 0.05 = $1.50
Now we add that to 30
$30 + $1.50 = $31.50
Your answer is $31.50
