Number Patterns

Front

What is a number pattern?

Back

A sequence of numbers that follow a specific rule or formula.

Front

What is the rule in the pattern: 5, 20, 80, ____?

Back

Multiply the previous number by 4.

Front

What is the next number in the pattern: 6, 9, 12, 15, 18, 21?

Back

24 (adding 3 each time).

Front

What is the rule for the pattern: 4, 9, 20, 41, 84, ____?

Back

Add the next odd number (1, 3, 5, 7, ...).

Front

What is the 7th term in the pattern: 2354, 3568, 4782, 5996?

Back

9,638 (adding 1,214 each time).

Front

What numbers will fill the blanks in the pattern: 69, 60, 51, ____, 33, ____?

Back

42, 24 (subtracting 9, then 8, then 7, etc.).

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

What is a geometric sequence?

Back

A sequence of numbers where each term is found by multiplying the previous term by a fixed, non-zero number.

Front

What is the next number in the pattern: 2, 4, 8, 16, ____?

Back

32 (multiplying by 2 each time).

Front

What is the difference between an arithmetic and geometric sequence?

Back

Arithmetic sequences add a constant, while geometric sequences multiply by a constant.