patterns practice 2

Front

What is a number pattern?

Back

A number pattern is a sequence of numbers that follows a specific rule or formula.

Front

How do you identify the rule in a number pattern?

Back

To identify the rule, look for a consistent operation (addition, subtraction, multiplication, or division) applied to the numbers in the sequence.

Front

What is the next term in the pattern: 5, 12, 19, 26?

Back

33, because the rule is to add 7 each time.

Front

Describe the rule for the pattern: 65, 62, 59, 56, 53, 50.

Back

The rule is to subtract 3 from the previous term.

Front

What is the rule for the pattern: 8, 16, 24, 32, 40?

Back

The rule is to add 8 to the previous term.

Front

What is the operation used in the pattern: 2, 4, 8, 16?

Back

The operation is multiplication by 2.

Front

What are the missing numbers in the pattern: 22, 29, 36, ___, 50, ___?

Back

43 and 57, because the rule is to add 7 each time.

Front

What is the general formula for an arithmetic sequence?

Back

The general formula is a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference.

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

How do you find the nth term of a geometric sequence?

Back

The nth term can be found using the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.