Sequences - Recursive and Explicit

The recursive formula can only be used if you know the previous term

• True

• False

The explicit (general) formula is used to find a specific term in a sequence.

• True

• False

Which of the following is explicit?

• $f_n=4n+5$

•  $f_n=5f_{n-1}$  

Which of the following is recursive?

•  $f_n=f_{n-1}+4$  

•  $f_n=2n-5$  

The sequence 3, 6, 9, 12... is:

• Arithmetic

• Geometric

• Recursive

• Explicit

Tags

CCSS.HSF.BF.A.2

Given the following sequence, what is a₅?

2, 7, 12, 17,...

• 2

• 12

• 17

• 22

Given the following sequence and a_n = 7, what is a_n+1?

2, 7, 12, 17,...

• 2

• 12

• 17

• 22

Find the first four terms of the sequence.

a_n+1= a_n + 9 where a₁= -2

• -2, -11, -20, -29

• 9, 7, 5, 3

• -2, 7, 16, 25

• 9, 18, 27, 36

Find the first four terms of the sequence.

 $T_n=6n-1$  

• 6, 12, 18, 24

• 5, 11, 17, 23

• 0, 6, 12, 18

• 6, 7, 8, 9

 $T_n=7\left(n+2\right)$  

Find the first four terms of the sequence.

• 21, 28, 35, 42

• 7, 9, 11, 13

• 9, 16, 23, 30

• 16, 23, 30, 37