Exploring Arithmetic Sequences as Linear Functions

What defines an arithmetic sequence?

• A sequence where each term is multiplied by a constant to get the next term.

• A sequence with randomly varying differences between terms.

• A sequence where the difference between successive terms is constant.

• A sequence where each term is squared to get the next term.

Tags

CCSS.HSF.BF.A.2

What is the common difference in the sequence starting with -26 and increasing by 4 each time?

• -26

• -4

• 4

• 26

Tags

CCSS.HSF.BF.A.2

Is the sequence 1, 4, 9, 16 an arithmetic sequence?

• No, because the difference between terms increases.

• No, because it decreases at some points.

• Yes, because it forms a recognizable pattern.

• Yes, because it increases by a constant amount.

Tags

CCSS.HSF.BF.A.2

What are the next three terms in the sequence starting with 9.5 and increasing by 1.5 each time?

• 15.5, 17.0, 18.5

• 10.5, 12.0, 13.5

• 11.0, 13.0, 15.0

• 11.0, 12.5, 14.0

Tags

CCSS.HSF.BF.A.2

How do you write an equation for the nth term of an arithmetic sequence?

• a_n = a_1 + (n - 1) * d

• a_n = a_1 * d^n

• a_n = a_1 / (n - 1) * d

• a_n = a_1^n + d

Tags

CCSS.HSF.BF.A.2

What is the 15th term of the sequence defined by the equation a_n = 16 - 13n?

• 179

• -179

• -13

• 16

Tags

CCSS.HSF.BF.A.2

How do you graph the first five terms of an arithmetic sequence?

• By only plotting the first and last terms.

• By drawing a curve through all the points.

• By plotting each term as a separate point without connecting them.

• By connecting the dots with straight lines.

Tags

CCSS.HSF.BF.A.2

What term of the sequence defined by a_n = 16 - 13n is -114?

• 15th term

• 5th term

• 10th term

• 20th term

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CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the sequence 12, 23, 34, 45 when graphed?

• Positive integers

• Non-negative integers

• All real numbers

• Negative integers

Tags

CCSS.HSF.BF.A.2

What is the common difference in the sequence 12, 23, 34, 45?

• 11

• 34

• 23

• 12

Tags

CCSS.HSF.BF.A.2