Function Notation with Arithmetic Sequences Explicit Formula

Which explicit formula can be used to model the sequence?

• a_n = 3 - 11(n - 1)

• a_n = 2 + 3(n - 1)

• a_n = 11 - 3(n - 1)

• a_n = 3 + 2(n - 1)

Write the explicit formula for the sequence.

• 4, -28, -60, -92

• -32, -36, -40, -44

• answer not here

• -28, -24, -20, -16

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

For the sequence, write an explicit formula. a₁ = 24, a₂ = 18, a₃ = 12, a₄  = 6, a₅ = 0, …

• a_n = 24 - 6(n - 1)

• a_n = -6 + 24(n - 1)

• g_n = 24 · (-2)^n-1

• g_n = -2 · 24^n-1

Write a function to represent the sequence:
 -12, -11.75, -11.5, -11.25…?

• f(n) = 0.25n - 12

• f(n) = -0.25(n - 1) - 12

• f(n) = 0.25n - 12.25

• f(n) = 12(n -1) - 0.25

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

What is the explicit rule for the sequence:
11, 22, 44, 88...

• a_n = 2(11)^n-1

• a_n = 11x2

• a_n = 11(2)^n-1

• a_n+1 = a_{n *} 2;  a₁ = 11

What is the explicit form for the following recursive sequence A_n=A(n-1) + 8, when it starts at 3?

• A_n=8n-5

• A_n=8n+3

• A_n=3(8)ⁿ

• A_n=3/8(8)ⁿ

What is a formula for the nth term in the sequence -4, -9, -14, ...?