Alg - sequences part 2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8

• a₁ =6, a_n = a_n - 1 - 2

• a₁ = 6, a_n = a_n-1 + 2

• a₁ = 6, a_n = a_n-1 - 2

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 100; a_n = a_n-1 - 8

• Explicit; 100, 92, 84, 76

• Recursive; 100, 92, 84, 76

• Explicit; 100, 108, 116, 124

• Recursive; 100, 108, 116, 124

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a_n = -4n - 1

• Explicit; -3, -7, -11, -15

• Recursive; -3, -7, -11, -15

• Explicit; -5, -9, -13, -17

• Recursive; -5, -9, -13, -17

-5, -1, 3, 7, 11
What is  $A_1$  ?

• -9

• +4

• -5

• -1

-5, -1, 3, 7, 11
What is the common difference  (d) ?

• -9

• +4

• -5

• -1

-5, -1, 3, 7, 11
What is the recursive rule?

•   $A_n=A_{\left(n-1\right)}\ +\ 4$  

•   $A_n=A_{\left(n-1\right)}-9$ 

•  $A_n=A_{\left(n-1\right)}-5$  

•  $A_n=A_{\left(n\right)}-4$  

17, 10, 3, -4, -11
 $A_{n\ }=\ 10.\ \ Solve\ for\ \ n\$  

• 0

• 1

• 2

• 10

Which is recursive (arithmetic) form?

• f(n) = start + constant change (n)

• y = m(x) + b

• $A_n=A_{\left(n+1\right)}\ +\ d$

• $A_n=A_{\left(n-1\right)}\ +\ d$

 $f\left(n\right)=\ \ 24\ \left(\frac{1}{2}\right)^{\left(n-1\right)}$  Given the explicit formula, find the 3rd term

• 6

• 12

• 3

• 1.5