Geometric Sequences and Series

What are the two main types of sequences discussed?

• Linear and Exponential

• Arithmetic and Geometric

• Ascending and Descending

• Positive and Negative

What distinguishes an arithmetic sequence from a geometric sequence?

• Arithmetic sequences use multiplication, while geometric sequences use addition.

• Arithmetic sequences have a common difference, while geometric sequences have a common ratio.

• Arithmetic sequences always increase, while geometric sequences always decrease.

• Arithmetic sequences use fractions, while geometric sequences use whole numbers.

How is the first term of a sequence typically denoted?

• d

• r

• u₁

• u_n

What is the common ratio of the geometric sequence 5, -25, 125, -625...?

• 5

• -5

• 20

• -20

What is the common ratio of the sequence

100, 50, 25, 12.5, ...

Write your answer in decimal.

• The common ratio is -3.

• The sequence is infinite.

• The sequence is geometric.

What is the 8th term of the sequence below?

2, 4, 8, 16, 32, ...

For a geometric sequence with a first term of 1 and a common ratio of -2, what is the 8th term?

• -128

• 128

• -256

• 256

What is the sum of the first ten terms of the sequence below:

2, 4, 8, 16, 32, ...

What is the sum of the first 10 terms of a geometric sequence with a first term of 1 and a common ratio of 2?

• 1023

• 2046

• 4092

• 511