Answer:
Please check the explanation!
Explanation:
Finding the slope:
Taking two points to find the slope of the linear function
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:
- 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