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Ad libitum [116K]
1 year ago
12

Find the midpoint of the segment with the given endpoints. (6,-6) and (1,2)

Mathematics
1 answer:
MrRissso [65]1 year ago
5 0

The midpoint of the line segment of the endpoints (6,-6) and (1,2) is given as:

(3½,-1)

What is the midpoint of a line segment in geometry?

The midpoint of a line segment is simply the centre point of a give segment that cuts or divides it into two congruent segments.

That is for example, if there are two points with coordinates (x1,y1) and (x2,y2), then their midpoint will be ; [(x1+x2)÷2,(y1+y2)÷2]

From the given question!

x1=6, x2=1 and y1=-6,y2=2

Thus, the midpoint is derived as;

[(6+1)÷2,(-6+2)÷2]

[(7)÷2,(-4)÷2]

(3½,-1).

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Write an recursive formula for An, the nth term of the sequence<br> 5, -2, -9,
oksian1 [2.3K]

Given:

The given sequence is:

5,-2,-9,...

To find:

The recursive formula for a_n, the nth term of the sequence.

Solution:

We have,

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The recursive formula for the nth term of the sequence is

a_n=a_{n-1}+d

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Putting d=-7 in the above formula, we get

a_n=a_{n-1}+(-7)

a_n=a_{n-1}-7

Therefore, the recursive formula for the nth term of the sequence is a_n=a_{n-1}-7.

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