6-7 Flashcardizz Review - 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 formula for the nth term of a geometric sequence?

Back

Front

What is the common ratio in the sequence 3, 6, 12, 24, ...?

Back

The common ratio is 2, as each term is multiplied by 2 to get the next term.

Front

How do you find the sum of the first n terms of a geometric series?

Back

Front

Back

Front

What is a geometric series?

Back

A geometric series is the sum of the terms of a geometric sequence.

Front

Determine if the sequence 5, 15, 45, 135, ... is geometric.

Back

Yes, the sequence is geometric with a common ratio of 3.

Front

Find the 5th term of the geometric sequence 4, -12, 36, -108, ...

Back

The 5th term is 324.

Front

Back

Front

What is the common ratio in the sequence 81, 27, 9, 3, ...?

Back