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 formula for the nth term of a geometric sequence?

Back

Front

Find the first four terms of the sequence given the rule: a_n = 4(5)^(n-1)

Back

The first four terms are: 4, 20, 100, 500.

Front

Write the explicit formula for the sequence: 216, 72, 24, 8, ...

Back

Front

What is the 11th term of the geometric sequence with a common ratio of -4 and first term 3?

Back

The 11th term is: -19,531,250.

Front

What is the sum of the first n terms of a geometric sequence?

Back

Front

What is the common ratio in the sequence: 1, 3, 9, ...?

Back

The common ratio is 3, as each term is multiplied by 3 to get the next term.

Front

Write the explicit formula for the geometric sequence: 3, -12, 48, ...

Back

Front

How do you find the common ratio of a geometric sequence?

Back

Front

What is the first term of the sequence defined by a_n = 5(2)^(n-1)?

Back