Unit 2 Geometric Sequences and Series

Front

What is a geometric sequence?

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common ratio in a geometric sequence?

Back

The common ratio is the factor by which we multiply each term to get the next term in the sequence.

Front

How do you find the nth term of a geometric sequence?

Back

Front

What is the formula for the sum of the first n terms of a geometric series?

Back

Front

What is the difference between a geometric sequence and a geometric series?

Back

A geometric sequence is a list of numbers, while a geometric series is the sum of the terms of a geometric sequence.

Front

How can you determine if a sequence is geometric?

Back

A sequence is geometric if the ratio of consecutive terms is constant.

Front

What is the 5th term in the geometric sequence 2, 6, 18, ...?

Back

The 5th term is 486.

Front

If the first term of a geometric sequence is 4 and the common ratio is 3, what is the 4th term?

Back

The 4th term is 108.

Front

What is the sum of the geometric series with first term 1, common ratio 2, and 5 terms?

Back

The sum is 31.

Front

What is the common ratio of the geometric sequence 10, 30, 90, ...?

Back

The common ratio is 3.