Given:
The sequence is
1, 4, 16, 64
To find:
The general term of the given sequence.
Solution:
We have, the sequence
1, 4, 16, 64
Here, the ratio between two consecutive terms is same. So, it is a geometric sequence.
First term is:
Common ratio is:
The nth term of a geometric sequence is
...(i)
Where, a is the first term and r is the common ratio.
Putting a=1 and r=4 in (i), we get
Therefore, the general term of the given sequence is .
Answer: a. 
b. The population in 2032 will be 8292.
Step-by-step explanation:
Exponential growth equation: 
, where a = initial value , r = growth rate, x = time period
Given: a = 5054 , r= 0.02
a. Required exponential growth function: 
b. For 2032, x= 25
The population in 2032 will be 8292.
Draw a rectangle with one side equal to 84 in. and the other side equal to 65 in. We know that area = l*w, so the area of the rectangle is 5,460 sq. in. Since Mr. Horn cut the piece of plywood in half, he produces two identical pieces of plywood, with half the amount of area as the original. So, 5,460 sq. in. divided by 2 = 2,730 sq. in.
An easy way is to work out their speed. Speed = distance/time.
First part: Speed = 330/5.5 = 60 mph
Finally, the second part: time = distance / speed
So time = 720/60 = 12 hours
Answer:
the ratio would be 6.75:4.5:3:2
Step-by-step explanation:
replace d and c with
d=2 and c=3
Then using proportion multiplication, you will find that b is 4.5
now replace all b with 4.5.
Then again using proportion multiplication, you will get a is 6.75.
Plug in a, b, c, d in the ratio and you get 6.75:4.5:3:2
