Recursive and Explicit Formulas for Geometric Sequences

Which of the following recursive formulas represents the given sequence.

Write the explicit formula for the sequence.

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

How do you write the recursive formula for geometric sequences using function notation?

• f(n) = f(n-1) * r

• f(n) = f(n-1) / r

• f(n) = f(n-1) + r

• f(n) = f(n-1) + r^n

• A.
• B.
• C.
• D.

What is the recursive formula for a geometric sequence?

• a(n - 1) + CD

• a(n - 1) x CR

• a₁(CR)^n-1

• CD(n - 1) + a₁

Write the recursive formula for geometric sequences.

• f(n) = f(n-1) * r

• f(n) = f(n-1) + 1

• f(n) = a(n-1) / r

• f(n) = f(n-1) + r

Write the recursive formula for the geometric sequence.

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

Write the explicit equation for the following sequence:

• t(n) = 30(2)ⁿ

• t(n) = 30(0.5)ⁿ

• t(n) = 60(0.5)ⁿ

• t(n) = 45 - 15n