Sequences Algebra

Select the explicit rule that represents the sequence.

• 6 + 5(n - 1)

• 4 + 6(n - 1)

• 6 - 4(n - 1)

Tags

CCSS.HSF.BF.A.2

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

• a_n = 25 + 4(n - 1)

• a_n = 29 - 4(n - 1)

• a_n = 25 - 4(n - 1)

• a_n = 29 + 4(n - 1)

Tags

CCSS.HSF.BF.A.2

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes

• No

Tags

CCSS.HSF.BF.A.2

Find the common difference: -34, -29, -24, -19, ...

• d = -5

• d = 5

• d = -6

• d = 6

Tags

CCSS.HSF.BF.A.2

A rule that defines the nth term a_n, or a general term, of a sequence as a function of n.

• Explicit Rule

• Arithmetic Sequence

• Recursive Rule

Tags

CCSS.HSF.BF.A.2

An equation to represent the n^th term of the sequence is known as 

• explicit formula

• arithmetic sequence

• geometric sequence

• recursive formula

Tags

CCSS.HSF.BF.A.2

Find the common difference: 29, 21, 13, 5, ...

• d = -10

• d = -9

• d = -8

• d = -7

Tags

CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Tags

CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: -3, -8, -13, -18, ...

• -20, -24, -28

• -21, -25, -29

• -23, -28, -33

• -24, -29, -32

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following sequence:

5, 8, 11, ...

(Hint: Write the explicit rule first, then use it to solve)

• 14

• 68

• 63

• 71

Tags

CCSS.HSF.BF.A.2