Sequences

Write the explicit formula for the sequence shown below.

1, 6, 11, 16

• a_n=1+5(n-1)

• a_n=1−5(n-1)

• a_n=5−(n-1)

• a_n=5+(n-1)

Tags

CCSS.HSF.BF.A.2

What is the 20^th term of the arithmetic sequence shown below.

7, 4, 1,...

• -49

• 50

• -50

• -51

Tags

CCSS.HSF.BF.A.2

A sequence can be generated by using a_n = a_(n-1) +9

where a₁ = 4

and n is a whole number greater than 1.

Which term describes this sequence?

• arithmetic

• geometric

• neither of these

Tags

CCSS.HSF.IF.A.3

A sequence can be generated by using a_n = a_(n-1) +9

where a₁ = 4

and n is a whole number greater than 1.

What are the first three terms in the sequence?

• 4, 36, 324

• 4, 13, 22

• 9, 13, 17

• 4, 8, 12

Tags

CCSS.HSF.BF.A.2

What is the eleventh term of an arithmetic sequence in which a1 = 3 and d = 6?

• 63

• 39

• 69

• 36

Tags

CCSS.HSF.BF.A.2

For a certain arithmetic sequence,  $d=4$   and  $a_{30}=57.$ What is a rule for the nth term of the sequence?

•  $a_n=-63-4n$  

•  $a_n=-59-4n$  

•  $a_n=-63+4n$  

•  $a_n=-59+4n$  

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Tags

CCSS.HSF.BF.A.2

Find a₁₈ for the following geometric sequence,

-3, 6, -12, 24,,,

• -37

• -786,432

• 393,216

• 258,280,326

Tags

CCSS.HSF.BF.A.2

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6
• a_n=a_n-1-4
  a₁=6
• a_n=a_n-1+9
  a₁=6
• a_n=a_n-1+6
  a₁=6

Tags

CCSS.HSF.BF.A.2

Which of the following recursive formulas represents the given sequence.

4, 12, 20, 28, 36, ...

• $a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot3$

• $a_1=4$ , $a_n=a_{\left(n-1\right)}+8$

• $a_1=4$ , $a_n=a_{\left(n-1\right)}-8$

• $a_1=4$ , $a_n=a_{\left(n-1\right)}\cdot9$

Tags

CCSS.HSF.IF.A.3