What is the 11th term of this pattern: 5,3,1,-1,.... and determine if it’s arithmetic or geometric ! Please answer this !!

Mathematics

1 answer:

Luba_88 [7]4 years ago

7 0

Answer:

Arithmetic, -15

Step-by-step explanation:

Use an explicit equation.

a(n) = 5 - 2(n - 1)

a(n) = 5 - 2(10)

a(n) = 5 - 20

a(n) = -15

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Figure ABCDE has vertices A(−2, 3), B(2, 3), C(5, −2), D(0, −4), and E(−2, −2). Plot the points on your own coordinate grid and

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There's a right angle that they want you to make a rectangle out of. I'm ignoring that and using each of the five sides to make a triangle with the origin.

A. Five triangles, zero rectangles.

AB=4, the difference of the x coordinates since the y coordinates are the same

AE = 5, the difference in the y coordinates since the x coordinates are the same

C. We'll use the Shoelace Formula, adding up all those triangles I made. A triangle with vertices (0,0), (a,b), (c,d) has signed area A = (1/2)(ad-bc). We go around counterclockwise so they all have positive areas, starting with AE, then ED, DC, CB, BA.

Area = (1/2) ( (-2)(-2) - 3(-2) + (-2)(-4) - (-2)(0) + 0(-2) - (-4)(5) + 5(3) - (-2)(2) + 2(3) - (3)(-2))

Area = 69/2