The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula , equivalent to the <em>recurrence</em> formula .
<h3>What is the missing element in a sequence?</h3>
A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:
(1)
Now we prove that given expression contains the pattern:
n = 0
7
n = 1
7 + (- 1)² · 2² = 7 + 4 = 11
n = 2
7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2
n = 3
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18
n = 4
7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7
The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula , equivalent to the <em>recurrence</em> formula .
To learn more on patterns: brainly.com/question/23136125
#SPJ1
The simplest form is 11/24.
Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.
To find the expression for the area of the rectangular garden we will find the area of the rectangle in the picture and then double it.
Area of the garden will be represented by the expression 32s⁵ ft².
Mrs. Lopez is designing her rectangular garden which is 2 times greater than the area of the rectangle shown in the picture.
Dimensions of the rectangle in the picture are 4s³t ft and 8s² ft.
Therefore, area of the rectangle in the picture = Length × Width
= 4s³t × 8s²
= 32s⁵t ft²
Since, area of the garden is 2 times greater than the area of the rectangle given in the picture.
Therefore, area of the garden = 2(area of the rectangle given in the garden)
= 2(32s⁵t) square feet.
= 64s⁵t square feet
Learn more,
brainly.com/question/17419256