Can someone with this question of what the explicit rule is.

Step-by-step explanation:

The sequence is arithmetic because it is going down/up by the same number each time.

It is going down by 6.

This tells us that the common difference is -6.

The first term is 30.

The following is the explicit form of an arithmetic sequence:

where is the first term and is the common difference.

So we have and .

Plugging this information into our explicit formula:

Let's check it.

The first term is :

which is what the pattern reads for the first term.

The second term is :

which is what the pattern reads for the second term.

The third term is :

which is what the pattern reads for the third term.

The fourth term is :

which is what the pattern reads for the fourth term.

This rule certainly does generate the terms of our sequence as we have shown above.

The explicit form with no doubt is .

is means division by fractions

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is