Sequence and Patterns

The series of shapes start with a circle, followed by a star, and lastly, a diamond. The series continues in the same pattern. Thus, the next shape after star in the series is a diamond.

In the given list of numbers, there is a certain pattern to follow. The first number is added by 1 to get the second number. Then, the second number is then added by 2 to get the third one. This pattern continues until the last number.

is a list of objects, like numbers, letters, or shapes that follow a particular pattern. The individual element or object in a sequence is called a term.

sequence shows a finite sequence. The sequence represents a multiple of three. Its last term or, in this case, the 6th term is 18. The difference between any two consecutive terms is 3.

The ellipsis or the three dots after the last known term in the sequence represent a sequence without end or an infinite sequence. The word infinite implies endless or without limit.

Study the sequence and determine the next three terms.

The succeeding terms in the sequence can be solved by adding 8 to the previous term. Thus, the next three numbers in the sequence are 29, 37, and 45.

Loida baked some cookies. She gave six of it to her best friend and left the rest on the table. Joy ate two of them. Then her dad ate three of the cookies. At the end of the day, only five cookies were left on the plate. How many cookies did Loida bake altogether?

In solving a problem or equation, you may look for the pattern used in the problem, work backwards, set up an equation, or use a model.