Write an explicit formula for the sequence 8, 4, 0, -4, -8,
then find the 10th term in the sequence.

an = 8 - 4(n - 1).

10th term = -28.

Step-by-step explanation:

This is an arithmetic sequence with common difference -4.

an = 8 - 4(n - 1) is the explicit formula.

The 10th term =  8 - 4(10-1)

= -28.

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)