The common ratio is the multiplication of 2 each time. 5x2= 10// 10x2=20// 20x2=40
Answer:
1. The independent variable goes on the x-axis and the dependent variable goes on the y-axis.
1. Geometric Sequence
2. 
3. 
Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here

(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:

In case of given sequence,

So to find the 5th term

(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:

Putting the values of a_1 and r

Hence,
1. Geometric Sequence
2. 
3. 
Keywords: Geometric sequence, common ratio
Learn more about geometric sequence at:
#LearnwithBrainly
Answer: approximately 29 feet
Explanation: You need to find a tree so that the angle of elevation from the end of the shadow to top of the tree is 40 degrees.
The length of the shadow is an adjacent side and is 35.
The height of the tree is the opposite side. You could use X.
Tan ratio = opposite/adjacent
tan(40) = x/35
x = 35*tan(40) =29.37
Answer:
Make Width = 'x'
Length = 4 + 2x
Perimeter = 2 x Width + 2 x Length
86 = 2(x) + 2(4 + 2x)
86 = 2x + 8 + 4x
Collect like terms:
2x + 4x = 86 - 8
6x = 78
x = 13
Width = 13 cm
Length = 30 cm
Step-by-step explanation: