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
I believe the term is a "radical"
Hope this helps!
The equivalent expressions of 22c + 33d are (a), (c) and (e)
<h3>How to determine the equivalent expressions?</h3>
The expression is given as:
22c + 33d
Factor out 11 from the expression
11(2c + 3d)
Multiply by 1
1 * 11(2c + 3d)
Express 1 as -1 * -1
-1 * -1 * 11(2c + 3d)
Evaluate the product
(-11) * (-2c - 3d)
Also, we have:
22c + 33d
Multiply by 1
(22c + 33d) * 1
Express 1 as 3/3
(22c + 33d) * 3/3
Evaluate the product
(66c + 99d) * 1/3
Hence, the equivalent expressions are (a), (c) and (e)
Read more about equivalent expressions at:
brainly.com/question/27911936
#SPJ1
Answer:
It should be A
Step-by-step explanation:
Because there are 4 sides and if you multiply 16x4 that will give you 64
it simple good luck :)
It should be noted that the mean and the standard deviation of the data given in will be 4.26 and 1.1011 respectively.
<h3>How to solve
the mean.</h3>
From the complete information, the mean will be calculated as:
= (0.02 × 1) + (0.09 × 2) + (0.12 × 3) + (0.15 × 4) + (0.62 × 5)
E(X) = 4.26
The standard deviation will be calculated thus:
E(X²) = (0.02 × 1²) + (0.09 × 2²) + (0.12 × 3²) + (0.15 × 4²) + (0.62 × 5²)
E(X²) = 19.36
The standard deviation will then be the difference between the square root of 19.36 and 4.26². This will be 1.1011.
The expected profit of the company will be:
= 0.75 × E(X)
= 0.75 × 4.26
= $3.20
The mean of the total number of binders purchased will be:
= 4.26 + 2.74 = 7
The standard deviation will be 1.6658.
Lastly, the total expected profit will be:
= 0.75E(X) + 1.45E(Y)
= 0.75(4.26) + 1.45(2.74)
= 3.195 + 3.973
= 71.68
Learn more about standard deviation on:
brainly.com/question/24298037
