Question

Find "both" answers

The answer to the "different" question is
The answer to the "same" three questions is

I NEED SOME HELP!!!! Plz on the last 2 questions

Answer 1

Please check the explanation!

Explanation:

Finding the slope:

Taking two points to find the slope of the linear function

• (2, 10)

• (3, 13)

Slope = m = y₂-y₁ / x₂-x₁

= (13-10) / (3-2)

= 3 / 1

= 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

= 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

RESULT

From the above calculations, we conclude that:

• Slope = 3

• The common difference between consecutive terms of the arithmetic sequence = 3

• The difference between the terms a₂ and a₄ = 6

• The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3