Find an equation for the nth term of the arithmetic sequence. 8, 6, 4, 2, ...
Options:
an = 8 + -2(n)
an = 8 - 2
an = 8 + -2(n + 1)
an = 8 + -2(n - 1)

an = 8 + -2(n - 1)

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

an = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 8

Common difference is the term - the previous consecutive term. Therefore,

d = 6 - 8 = 4 - 6 = - 2

We want to determine the equation for the nth term of the arithmetic sequence. It becomes

an = 8 + - 2(n - 1)

b. astronomers

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)