Front

What does a₁ represent in a geometric sequence?

Back

The first term of the geometric sequence.

Front

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

Back

Divide any term by the previous term.

Front

What is the formula to find the next term in a geometric sequence?

Back

Multiply the current term by the common ratio (r).

Front

What is the explicit formula for a geometric sequence?

Back

a_n = a ⋅ r^(n-1), where a is the first term and r is the common ratio.

Front

What is a geometric sequence?

Back

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

Front

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

Back

6 (3 * 2).

Front

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

Back

162 (2 * 3^4).

Front

How can you determine if a sequence is geometric?

Back

Check if the ratio between consecutive terms is constant.

Front

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

Back

3 (15/5 or 45/15).

Front

What is the 11th term of the geometric sequence with a₁ = 1 and r = 3?

Back

1,594,323 (1 * 3^(11-1)).