Recursive and Explicit Formula

Find the first 5 terms of each sequence: a₁=1, a_n=4a_n-1-1

• 1, 7, 13, 15, 19

• 1, 3, 11, 43, 171

• 3, 11, 43, 171, 683

Tags

CCSS.HSF.BF.A.2

Find the first 5 terms of each sequence: a₁=3, a_n=a_n-1+11

• 3, 14, 25, 36, 47

• 12, 13, 14, 15, 16

• 3, 14, 29, 38, 50

Tags

CCSS.HSF.BF.A.2

Find the first 5 terms of each sequence: a_n=12(n-2)

• -12, 0,12, 24, 36

• 1, -12, -168, -2040, -24505

• -24, -12, 0, 12, 24

Tags

CCSS.HSF.BF.A.2

Write a possible explicit rule for the nth term of the sequence: 6, 9, 12, 15, 18, ...

• a_n=3+6n

• a_n=3+3n

• a_n=6+3n

• a_n=3-3n

Tags

CCSS.HSF.BF.A.2

Write a possible explicit rule for the nth term of the sequence: 25, 15, 5, -5, -15,...

• a_n=10n-35

• a_n=35+10n

• a_n=35-10n

• a_n=-10n-35

Tags

CCSS.HSF.BF.A.2

Which sequence is expressed by the rule  $$a_n=\frac{2n}{n+1}$$ ?

•  $\frac{2}{3},\ \frac{4}{5},\ \frac{6}{7},\ \frac{8}{9},\ \frac{10}{11},...$  

•  $1,\ \frac{4}{3},\ \frac{3}{2},\ \frac{8}{5},\ \frac{5}{3},\ ...$  

•  $0,\ 1,\ 2,\ \frac{3}{2},\ \frac{8}{5},\ ...$  

•  $2,\ \frac{3}{2},\ \frac{8}{5},\ \frac{5}{3},\ \frac{12}{7},...$  

Tags

CCSS.HSF.BF.A.2

Write a possible explicit rule for the nth term of the sequence:  $\frac{1}{2},\ \frac{2}{3},\frac{3}{4},\frac{4}{5},\ \frac{5}{6},\ ...$ 

•  $a_n=\frac{n}{n+1}$  

•  $a_n=\frac{n}{n-1}$  

•  $a_n=\frac{n+1}{n}$  

•  $a_n=\frac{n-1}{n}$  

Tags

CCSS.HSF.BF.A.2

A formula that uses one or more previous terms to find the next term is an ___________________ formula

• Explicit

• Recursive

Tags

CCSS.HSF.BF.A.2

What does a₁ represent in a recursive sequence?

• Difference

• Previous Term

• Last Term

• First term

Tags

CCSS.HSF.BF.A.2

What does a_n-1 represent in a recursive sequence?

• Difference

• Previous Term

• Last Term

• First term

Tags

CCSS.HSF.BF.A.2