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pav-90 [236]
3 years ago
13

Find the next four terms in the arithmetic sequence.

Mathematics
2 answers:
hichkok12 [17]3 years ago
6 0

To find the arithmetic sequence, we can first find it's common difference by deducting the first term by the second term:

-7-(-15)

=-7+15

=8

Therefore the common difference is 8, and to find the remaining terms we can add 8 for the respective terms.

T(4) = 1+8 =9

Therefore the answer is c)9,17,25,33.

Hope it helps!

AfilCa [17]3 years ago
6 0

Answer: c) 9,17,25,33

Step-by-step explanation:

Use the equation a_n=a_1+d(n-1)

Where "n" is the nth term,  a_1 is the first term, "d" is the common difference and "n" is a integer greater than zero.

Find the common diference "d":

d=(-7)-(-15)\\d=8

Then we know that:

a_1=-15\\d=8\\

Since we need to find the next four terms and we know three terms then:

 For n=4:

a_4=-15+8(4-1))=9

For n=5:

a_5=-15+8(5-1))=17

For n=6:

a_6=-15+8(6-1))=25

For n=7:

a_7=-15+8(7-1))=33

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The equation of the line in slope-intercept form would be y = m(x - 1/5) - 8.

<h3>What is slope intercept form a straight line?</h3>

The slope-intercept form of a straight line is used to get the equation of a line. We need to know the slope of the line and the intercept where the line crosses the y-axis in order to use the slope-intercept formula.

One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills.

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To learn more about slope intercept form, visit:

brainly.com/question/9682526

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