Arithmetic sequences have a common difference between consecutive terms. therefore, they’re modeled with functions.
geometric sequences have a common ratio between consecutive terms. therefore, they’re modeled with functions.

Linear functions.

Exponential functions.

Step-by-step explanation:

An example of an arithmetic sequence is  1, 3, 5, 7, common difference is 2 and is modelled by the linear function

1 + 2(n -1).

A geometric sequence might be  2, 4, 8, 16  where  there is a common ratio of 2 and is modelled by 2.(2)^n-1).

s

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)