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Sloan [31]
3 years ago
10

What is the explicit formula for this sequence?

Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer:

a_n=-7+4(n-1)

or

a_n=-7+(n-1)(4)

Step-by-step explanation:

-7,-3,1,5,... is a arithmetic sequence.

Arithmetic sequences have a common difference. That is, it is going up by 4 each time.

When you see arithmetic sequence, you should think linear equation.

The point-slope form of a line is y-y_1=m(x-x_1).

m is the common difference, the slope.

Any they are using the point at x=1 in the point slope form.  So they are using (1,-7).

So let's put this into our point-slope form:

y-(-7)=4(x-1)

y+7=4(x-1)

Subtract 7 on both sides:

y=-7+4(x-1)

So your answer is

a_n=-7+4(n-1)

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