Geometric Sequences Explicit Recursive Formulas

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

What is the common ratio: 5, 25, 125, 625...

• 25

• 20

• 5

• 4

Which of the following recursive formulas represents the given sequence. 4, 12, 36, 108, 324, ...

Write the explicit formula for the sequence.

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Which formula is used to find the explicit equation for geometric sequences?

• a_n = a_n-1 + d

• a_n = a_n-1 * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

• A.
• B.
• C.
• D.

Which of the following EXPLICIT formulas would model the same sequence as defined by the recursive formula given below?

Find an explicit rule for the nth term of the sequence.

• a_n= -2(4)^n-1

• a_n= -2(4)ⁿ

• a_n= 2(-4)^n-1

• a_n= 2(4)^n-1