What is the rule for the sequence with the first four terms below?

0.5, 0.25, 0, –0.25
f (x) = 0.75 minus 0.25 x
f (x) = 0.5 minus 0.25 x
f (x) = 0.75 (negative 0.25) Superscript x
f (x) = 0.5 (0.25) Superscript x

f (x) = 0.75 minus 0.25x

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference.

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

an = a1 + (n - 1)d

Where

a1 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,

a1 = 0.5

d = 0.25 - 0.5 = - 0.25

n = 25

The rule for the sequence is

an = 0.5 + (n - 1)-0.25

an = 0.5 - 0.25n + 0.25

an = 0.5 + 0.25 - 0.25n

an = 0.75 - 0.25n

Substituting f(x) for an and x for n, it becomes

f(x) = 0.75 - 0.25x

the function makes a strait line horizontally with no x intercept but a y intercept at 9.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|