Find the Term of the Geometric Sequence

Now we will look at our OTHER type of sequence... We know arithmetic sequences have an adding pattern... Well GEOMETRIC sequences have a MULTIPLYING pattern. Given the sequence 3, 6, 12, 24, ..., what is the common ratio? Hint: A common ratio is the sequence's multiplier.

• 2

• 4

• 6

• 8

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

Given the geometric sequence 1, 5, 25, 125, ..., write an explicit formula.

Given the geometric sequence 64, 16, 4, 1, ..., write an explicit formula.

Given the geometric sequence 80, 40, 20, 10, ..., write an explicit formula.

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19

Given the sequence: 125, 25, 5, .... Write the rule a_n using the geometric sequence formula:

• a_n = (125)(1/5)^(n-1)

• a_n = 625(1/5)^(n-1)

• a_n = 625(5)^(n-1)

• a_n = 125 + 5n

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147

• -19,683

• -59,049

• 118,098

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

• 384

• 768

• 1,536

• 27

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4

• 3

• 2

• 6