8.2 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

If the first term of a geometric sequence is 3 and the common ratio is 2, what is the 4th term?

Back

Front

What does the variable 'r' represent in a geometric sequence?

Back

The variable 'r' represents the common ratio, which is the factor by which we multiply each term to get the next term.

Front

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

Back

Front

What is the common ratio for the sequence: 28, 14, 7, 3.5...?

Back

Front

Write the exponential equation for a geometric sequence with a first term of 80 and a common ratio of 1/4.

Back

Front

If the common ratio is 3, what is the 5th term of a geometric sequence starting with 2?

Back

Front

What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3?

Back

Front

How do you determine if a sequence is geometric?

Back

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