Unit 1 Flashcard

Front

Write the explicit rule for the geometric sequence: 2, -12, 72, ...

Back

a_n = 2(-6)^(n-1)

Front

Find the next three terms: -4, -12, -36, -108, ...

Back

-324, -972, -2916

Front

Write an explicit rule for the general term of the sequence 5, 15, 45, ...

Back

a_n = 5(3)^(n-1)

Front

Write the explicit formula for the geometric sequence: 3, -12, 48, -192, ...

Back

a_n = 3(-4)^(n-1)

Front

Find a_12 for the geometric sequence defined by: a_n = 6(2)^(n-1)

Back

12,288

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

Define common ratio in a geometric sequence.

Back

The constant factor between consecutive terms in a geometric sequence.

Front

How to find the nth term of a geometric sequence?

Back

Use the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the first term of the sequence 3, -12, 48, -192, ...?

Back

3

Front

If the first term of a geometric sequence is 5 and the common ratio is 3, what is the 4th term?

Back

135 (a_4 = 5 * 3^(4-1) = 5 * 27 = 135)