Geometric Sequences

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 a geometric sequence.

Front

Find the common ratio of the sequence: 3, 6, 12, 24.

Back

The common ratio is 2.

Front

If the first term of a geometric sequence is 2 and the common ratio is 3, what is the second term?

Back

The second term is 6.

Front

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

Back

The nth term can be found using the formula: a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

Calculate the 5th term of the geometric sequence: 1, 2, 4, 8, ...

Back

The 5th term is 16.

Front

What is the common ratio of the geometric sequence: 5, 15, 45?

Back

The common ratio is 3.

Front

Find the missing term in the geometric sequence: 8, __, 32.

Back

The missing term is 16.

Front

If the first term is 10 and the common ratio is -2, what is the third term?

Back

The third term is 40.

Front

What is the next term in the sequence: 1, 3, 9, 27?

Back

The next term is 81.