Number and Shape Patterns

A number pattern is a sequence of numbers that follows a specific rule or formula, allowing for the prediction of subsequent numbers in the sequence.

To find the nth term in an arithmetic sequence, use the formula: nth term = first term + (n-1) * common difference.

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.

The common difference is the amount added or subtracted from one term to get to the next term in an arithmetic sequence.

To identify the next number in a pattern, determine the rule governing the pattern (addition, subtraction, multiplication, etc.) and apply it to the last known number.

The rule for this pattern is to add 5 to the previous number.

To create a pattern using multiplication, start with a number and repeatedly multiply it by a fixed number to generate the next terms.

A shape pattern is a sequence of shapes that follow a specific arrangement or rule, which can involve rotation, color change, or shape transformation.

The first term in the sequence is 29.

To determine the 5th term, apply the rule repeatedly starting from the first term until you reach the 5th term.