Module 1 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.

Front

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

Back

The common difference (d) can be found by subtracting any term from the subsequent term: d = f(n) - f(n-1).

Front

If f(2) = 9 and f(7) = 24, how do you find f(1)?

Back

Use the formula for an arithmetic sequence: f(n) = f(1) + (n-1)d. Here, d = (24 - 9) / (7 - 2) = 3. Thus, f(1) = 9 - 3(1) = 6.

Front

What is the formula for the nth term of an arithmetic sequence?

Back

The formula is f(n) = f(1) + (n-1)d.

Front

What is the first term of the sequence if f(1) = 2 and the common difference is -7?

Back

The first term is 2.

Front

What is the common difference in the sequence 2, 14, 98, 682?

Back

This sequence is not arithmetic; it is geometric with a common ratio of 7.

Front

How do you represent a geometric sequence?

Back

A geometric sequence can be represented as f(n) = f(1) * r^(n-1), where r is the common ratio.

Front

What is the common difference for the sequence 2, -5, -12, -19?

Back

The common difference is -7.

Front

How do you find missing terms in an arithmetic sequence?

Back

Use the common difference to add or subtract from known terms.

Front

What is the formula for the nth term of a geometric sequence?

Back

The formula is f(n) = f(1) * r^(n-1), where r is the common ratio.