The first term, a, is 2. The common ratio, r, is 4. Thus,
a_(n+1) = 2(4)^(n).
Check: What's the first term? Let n=1. Then we get 2(4)^1, or 8. Is that correct? No.
Try this instead:
a_(n) = a_0*4^(n-1). Is this correct? Seeking the first term (n=1), does this formula produce 2? 2*4^0 = 2*1 = 2. YES.
The desired explicit formula is a_(n) = a_0*4^(n-1), where n begins at 1.
Answer:
25ft
Step-by-step explanation:
12 inches = 1 ft. Hence,
120 inches = 10 ft.
Likewise,
1 yard = 3 ft
5 yards = 15 ft
Hence, the length of both cars together is,
10 ft + 15 ft = 25 ft
Answer:

Step-by-step explanation:
<u>Geometric Sequence</u>
In geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
48, 72, 108, ...
The common ratio is found by dividing the second term by the first term:

To ensure this is a geometric sequence, we use the ratio just calculated to find the third term a3=72*1.5=108.
Now we are sure this is a geometric sequence, we use the general term formula:

Where a1=48 and r=1.5

For example, to find the 5th term:

2+32+16÷8
2+32+2
36
That's the answer 36
The answer is number 6 is 96