Answer:
<u>There are 17 terms in the sequence</u>
Step-by-step explanation:
<u>Arithmetic Sequence
</u>
An arithmetic sequence is a list of numbers with a definite pattern by which each term is calculated by adding or subtracting a constant number called common difference to the previous term. If n is the number of the term, then:

Where an is the nth term, a1 is the first term, and r is the common difference.
In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

We need to express r as an improper or proper fraction:

Substituting:



n=17
There are 17 terms in the sequence
Aloha!
1 centimeter= 40 kilometers
The distance between the cities in centimeters is 21.7
To get the answer into kilometers, you multiply.
So, 21.7 times 40 which is 868 kilometers.
To answer your question, the distance between Fort Worth and El Paso is 868 kilometers.
I hope this helps!
Adios!:)
Answer:
72.3
Step-by-step explanation:
Given that:
The arithmetic sequence:

The first term of the sequence
= 3 since k = 0
i.e (3 + 0.26(0)) = 3
The last term of the sequence
= 6.64
i.e (3+ 0.26(14)
= (3 + 3.64)
= 6.64
Total no of terms = 15 i.e from 0 to 14
∴
The partial sum of the arithmetic sequence = 

= 72.3
The relationship between two variables is called their correlation. The closer the data points come when plotted to making a straight line, the higher the correlation between the two variables, or the stronger the relationship.
Also,
A scatter plot shows a positive trend if y tends to increase as x increases. A scatter plot shows a negative trend if y tends to decrease as x increases. A scatter plot shows no trend if there is no obvious pattern.
Hope this helps!