Exploring Arithmetic Sequences

What is an arithmetic sequence?

• A list of numbers with a pattern of exponentiation

• A list of numbers with no specific pattern

• A list of numbers with a pattern of addition or subtraction

• A list of numbers with a pattern of multiplication or division

In an arithmetic sequence, what does the common difference (d) represent?

• The number added or subtracted to get the next term

• The first term in the sequence

• The number of terms in the sequence

• The last term in the sequence

Which of the following sequences is arithmetic?

• 3, 6, 12, 24

• 2, 4, 8, 16

• 5, 10, 15, 20

• 1, 2, 4, 8

Given the sequence -5, -3, -1, 1, what is the common difference (d)?

• -1

• 2

• -2

• 1

Which of the following is NOT an arithmetic sequence?

• 1, 2, 4, 8

• 3, 6, 9, 12

• 2, 5, 8, 11

• 1, 4, 7, 10

If the first term (A1) of an arithmetic sequence is 7 and the common difference (d) is 3, what is the formula for the nth term (an)?

• an = 7 + 3(n - 1)

• an = 7 - 3(n - 1)

• an = 3 - 7(n - 1)

• an = 3 + 7(n - 1)

If the first term (A1) is 10 and the common difference (d) is -2, what is the 5th term in the sequence?

• 2

• 4

• 6

• 8

If A1 is 24 and d is -8, what is the formula for the nth term (an)?

• an = 24 - 8(n - 1)

• an = 8 + 24(n - 1)

• an = 8 - 24(n - 1)

• an = 24 + 8(n - 1)

What is the 10th term of the sequence where A1 is 5 and d is 3?

• 30

• 35

• 27

• 32

If A1 is -21 and d is -4, what is the 14th term in the sequence?

• -73

• -77

• -81

• -85