The rule for sequence is:

Step-by-step explanation:
To write the function rule, we have to check first whether it is an arithmetic sequence or geometric sequence
So
We have to find the common difference first. Common difference is the difference between two consecutive terms of a arithmetic sequence.
So,
Here

The common difference is same so the sequence is an arithmetic sequence.
The explicit formula for an arithmetic sequence is:

Putting the values of d and a_1 we get,

Hence,
The rule for sequence is:

Keywords: Functions Rule, Arithmetic sequence
Learn more about arithmetic sequence at:
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A
The absolute value of -27 is 27, so it is the same number
Answer:
Y=-3x+5
Step-by-step explanation:
Given:
The ratio of the measures of the three sides of a triangle is
.
Its perimeter is 31.4 centimeters
To find:
The shortest side of the triangle.
Solution:
Let the measures of the three sides of a triangle are
respectively (in cm).
Its perimeter is 31.4 centimeters.




On further simplification, we get


Divide both sides by 3.


Now, the sides of triangle are



Therefore, the length of the shortest side is 6.978 cm.
Answer:
y = -2x - 2
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)