IM3 Patterns Review

Front

What is an explicit equation for a linear sequence?

Back

Front

Given the sequence: 25, 21, 17, 13,... What is the common difference?

Back

The common difference is -4, as each term decreases by 4.

Front

What is the formula for the nth term of the sequence 3, 12, 25, 42,...?

Back

Front

How do you find the sum of the first n terms of a geometric series?

Back

Front

What is the sum of the infinite geometric series 8 + 4 + 2 + 1 + ...?

Back

Front

What are the next three terms in the geometric sequence 512, 256, 128,...?

Back

The next three terms are 64, 32, and 16.

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 the geometric series 2, -6, 18, -54,...?

Back

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

Front

How do you determine the nth term of a sequence?

Back

To determine the nth term of a sequence, identify the pattern or rule governing the sequence and express it in a formula that relates n to the term.

Front

What is the formula for the sum of the first n terms of an arithmetic series?

Back