Understanding Sequences as Functions

What is the domain of a sequence when considered as a function?

• Natural numbers

• Integers

• All real numbers

• Complex numbers

In an arithmetic sequence, what is the term used to describe the constant value added to each term to get the next term?

• Incremental value

• Constant multiplier

• Common difference

• Common ratio

How do you determine if a sequence is arithmetic?

• By checking if each term is a multiple of the previous term

• By checking if the difference between consecutive terms is constant

• By checking if the sum of terms is constant

• By checking if each term is a power of the previous term

What is the common ratio in a geometric sequence?

• The product of the first and last terms

• The sum of the first and last terms

• The difference between consecutive terms

• The factor by which each term is multiplied to get the next term

How can you identify a geometric sequence?

• By checking if the ratio between consecutive terms is constant

• By checking if the difference between terms is constant

• By checking if each term is a multiple of the previous term

• By checking if the sum of terms is constant

What type of sequence is characterized by a constant difference between terms?

• Arithmetic sequence

• Geometric sequence

• Fibonacci sequence

• Harmonic sequence

If a sequence does not have a constant difference or ratio, what is it classified as?

• Neither

• Both

• Arithmetic

• Geometric

What does the graph of an arithmetic sequence resemble?

• A parabola

• A straight line

• A sine wave

• An exponential curve

What does the graph of a geometric sequence typically look like?

• A straight line

• A logarithmic curve

• An exponential curve

• A quadratic curve

Which of the following is true about the graph of a geometric sequence?

• It has an exponential shape

• It forms a circle

• It resembles a sine wave

• It is always a straight line