Explicit and Recursive Functions

Which recursive formula best describes the sequence
2, -6, 18, - 54... 

• a_n=a_n-1* -4, a₁ = 2

• a_n=a_n-1* - 8, a₁ =2

• a_n=a_n-1* 2, a₁ = -3

• a_n=a_n-1* -3, a₁ =2

What is a₅?

• -1875

• -550

• -1055

• Not enough information

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

The explicit equation is y = 3x +7 and the recursive equation is now = previous term + 3. If the sequence is 10,13 what is the value of the 50th term?

• 16

• 157

• -9

• 72

Write a recursive formula for the sequence -7, -1, 5, 11, ___?

• f(n) = 10n -2

• f(n) = - 2n + 1

• f(n) = f(n-1) + 6

Write an explicit formula for the sequence -7, -1, 5, 11 ?

• f(n)=5n +8

• f(n)=-n

• f(n)=6n -13

• now = previous term - 8

Write a Next/Now rule for the table.

• Next=Now + 5 Starting at 0

• Next=Now + 5 Starting at 3

• Next=Now × 2 Starting at 3

• Next=Now - 5 Starting at 3

Given the explicit formula, find the first four terms:
a_n = 19 - 5(n-1)

• 19, 14, 9, 4

• 19, 24, 29, 34

• 19, -95, 475, -2375

• 1, -4, -9, -14

What is the recursive formula, an = a_n-1 (r), used to find?