First term: 2 3/4 sixth term: 3 7/12 what is the rule

we conclude that the rule will be:

Step-by-step explanation:

Given

We know the arithmetic sequence with the common difference is defined as

where a₁ is the first term and d is a common difference.

so

a₆ = a₁ + (6-1) d

substituting a₆ = 43/12 and a₁ = 11/4 to determine d

switch sides

subtract 11/4 from both sides

Divide both sides by 5

as

a₁ = 11/4

Therefore, the nth term of the Arithmetic sequence will be:

substituting d = 1/6 and a₁ = 11/4

Therefore, we conclude that the rule will be:

answer: 1 and 3

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