Answer:
The sum of the arithmetic sequence is 
.
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.
If the first term of an arithmetic sequence is 
and the common difference is d, then the nth term of the sequence is given by:
For the sequence
The pattern is continued by adding -11 to the last number each time.
An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first, and last term, 
, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>
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The sum of the arithmetic sequence is
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Good morning! So, what this question wants us to do is find each y value given its x value. Without the function it gives us already, this would be pretty difficult.
It gives us a function rule of y=2x+3. This means that we need to plug in each x value into the equation and solve for y. Let’s work on these first three.
y=2x+3} x=-4
y=2(-4)+3
y=-8+3
y=-5
So, if x=-4, then y=-5.
y=2x+3} x=-2
y=2(-2)+3
y=-4+3
y=-1
So, if x=-4, then y=-1.
y=2x+3} x=0
y=2(0)+3
y=0+3
y=3
So, if x=0, then y=3.
Try out the last one, and if you have any questions, comment below! Here are some extra x values if you need more practice.
Using the same function rule, y=2x+3, try to find the y value if x=-6, x=-3, x=5, or x=6.
Answer:
=64.65
Step-by-step explanation:
