<span>The correct answer is 2 3/5.
Explanation:
2 is in the ones place and 6 is in the tenths place, which means we read this as "2 and 6 tenths". 6 tenths can also be written as 6/10, which makes this 2 6/10. This would then simplify to 2 3/5.</span>
Since these two coordinates are on the same Y-axis, we can assume that this is a straight line and do not need to create a triangle and solve for the hypotenuse. The distance from -8 to 0 is 8, and the distance from 0 to 7 is 7. Meaning that the distance between the two points is 15 units.
The first term in our arithmetic sequence = 13
The common difference of our arithmetic sequence = 17 - 13 = 4
The formula for finding an equation for any arithmetic sequence is a(n) = A + B(n - 1)
A = the first term
B = the common difference.
Let's plug our numbers in.
a(n) = 13 + 4(n - 1)
Let's check to make sure we're correct.
a(1) = 13 + 4(1 - 1) = 13 + 4(0) = 13 + 0 = 13
a(2) = 13 + 4(2 - 1) = 13 + 4(1) = 13 + 4 = 17
That verifies that our formula is correct.
In conclusion,
a(n) = 13 + 4(n - 1)