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svetoff [14.1K]
3 years ago
12

Find an equation for the nth term of the arithmetic sequence.

Mathematics
2 answers:
djyliett [7]3 years ago
8 0
1) To find out common equation for this sequence, it must be used n=1;2;3;4... etc.
2) to count a₁ use n=1. It is correct only for row  a_n=-3+-2(n-1)  result is (-3)
3) if to verify others value for n:

Liono4ka [1.6K]3 years ago
7 0
An = -3 + -2 (n) is the answer. To verify this, start replacing the"n" with numbers like so: 0, 1, 2, 3, 4, 5....etc
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Write the following in slope-intercept form.
Umnica [9.8K]

Answer:

\huge\boxed{y=4x-7}

Step-by-step explanation:

Linear equations will always be in the form y=mx+b, where m is the slope and b is the y-intercept

Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.

Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x (\frac{\Delta y}{\Delta x}), so we can use the two points given to us to find both changes.

The y value goes from 1 to 17, which is a 17-1=16 change.

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y=4x+b

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