Find the common ratio r for the geometric sequence, and use r to find the next 3 terms n 1, 2, 3, 4, 5, 6, 7 f(n) 1,4,16,64
mote1985 [20]
Divide the given terms:
4/1 = 4
16/4 = 4
64/16 = 4
R = 4
The next term is the previous term multiplied by 4.
64 x 4 = 256
256 x 4 = 1024
1024 x 4 = 4096
The next three terms are: 256, 1024, 4096
Since the limit becomes the undetermined form

it means that both polynomials have a root at
. So, we can fact both numerator and denominator:


So, the fraction becomes

Now, as x approaches 1, you have no problems anymore:

Answer:
I don't know this math sorry!
Answer: I forgot i remember the answer in my head I forgot..
Step-by-step explanation:
Answer:
In the first week, Micah bought 11 gallons of gas.
In the second week, Micah bought 8 gallons of gas.
Step-by-step explanation:
Given:
First week
x gallons of gas at $2.39 per gallon
x gallons = $2.39x
Second week
3 fewer gallons of gas than the first week at $2.49 per gallon
x - 3 gallons = $2.49(x-3)
Total spent = $46.21
$2.39x + $2.49(x-3) = $46.21
2.39x + 2.49x - 7.47 = 46.21
4.88x - 7.47 = 46.21
Add 7.47 to both sides
4.88x - 7.47 + 7.47 = 46.21 + 7.47
4.88x = 53.68
Divide both sides by 4.88
x = 53.68/4.88
= 11
x = 11
First week = x = 11 gallons
Second week
= x - 3
= 11-3
= 8 gallons
Therefore,
In the first week, Micah bought 11 gallons of gas.
In the second week, Micah bought 8 gallons of gas.