Practice Explicit and Recursive Sequences

Given the explicit equation a_n = 100(1/2)ⁿFind a₄

• r = 2

• r = 1/2

• r = 3

• r = -3

Write an explicit equation given a₀ = 81 and r = 1/3

• a_n = 1/3(81)ⁿ

• a_n = 81(3)ⁿ

• a_n = 81(1/3)ⁿ

Given the explicit equation a_n = 768(1/4)ⁿ

Find a₄

What is the 15th term of the sequence an = -3n+50

• 95

• -5

• 5

• -95

Identify the common difference.

• 4

• 3

• -4

• -3

Which of the following equations is explicit?

• f(n) = 4n + 5

• f(n) = f(n-1) x 5

Which of the following equations is recursive?

• f(n) = f(n-1) +4

• f(n) = 2n - 5

Which is an arithmetic sequence?

• 1, 3, 5, 7, 9, ...

• 1, 2, 4, 8, 16, 32, ...

• 1, 1, 2, 3, 5, 8, 13, ...

What does a₁ represent?

• Any term

• First term

• Last term