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Olin [163]
3 years ago
8

Find "both" answers

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0

Answer:

Please check the explanation!

Step-by-step 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

<u>RESULT </u>

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

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