Sequences CFA Review

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

Front

How do you find the common difference in an arithmetic sequence?

Back

The common difference can be found by subtracting any term from the subsequent term. For example, in the sequence 8, 3, -2, -7, the common difference is 3 - 8 = -5.

Front

What is the explicit formula for an arithmetic sequence?

Back

Front

Given the sequence 8, 3, -2, -7, what is the first term (a_1)?

Back

Front

What is the explicit formula for the arithmetic sequence 8, 3, -2, -7?

Back

Front

Back

This means that after 9 weeks, the water tank will contain 155 gallons of water.

Front

What is the formula to find the nth term of a sequence?

Back

Front

If the first term of an arithmetic sequence is 8 and the common difference is -5, what is the 4th term?

Back

Front

What is the significance of the common difference in an arithmetic sequence?

Back

The common difference determines how much each term in the sequence increases or decreases from the previous term.

Front

How can you determine if a sequence is arithmetic?

Back

A sequence is arithmetic if the difference between consecutive terms is constant.