# Number Sequencing Worksheets

What is Number Sequencing? People around the world use the terms 'series' and 'sequence' interchangeably. However, these terms are different if we look at their literal meanings. Series is where numbers are written without any definite pattern or order. Sequence on other hand is where numbers follow a definite order and pattern. Every number sequence follows a rule. Each number in the sequence is linked to the next as per a fixed order or pattern. There four types of number sequences and these include arithmetic sequence, geometric sequence, harmonic sequence, and Fibonacci numbers. Arithmetic Sequence - It is a type of sequence where each term created by adding or subtracting a definite number to the preceding number. Geometric Sequence - In this type of sequence each term is obtained by multiplying or dividing a definite number with the preceding number. Harmonic Sequence - The third type of sequence is called harmonic sequence. It is a bit different from the other two. A sequence is said to be harmonic if the reciprocals of all the elements of the sequence form an arithmetic sequence.

• ### Basic Lesson

Students learn to determine the missing number in a number sequence. Determine which number is missing from the shape and fill in the missing number(s).

• ### Independent Practice 1

Students work through 6 number sequence problems. Write in the missing numbers on the apples.

• ### Independent Practice 2

A slightly larger set of numbers to work with than practice sheet 1. Has 5 hot air ballon problems. Write in the missing numbers on the hot air balloons.

• ### Homework Worksheet

Provides a warm up problem that is completed for students. Includes 4 additional practice problems.

• ### Skill Quiz

Contains 5 number sequencing problems. Comes with a scoring matrix.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Answer Key

Answers for the lesson and practice sheets.

#### How many candles?

Aunt Sal's birthday cake has a lot of candles on it. They are in a pattern that goes like this: red, yellow, red, yellow, blue, red, yellow, blue, green. There is more to the pattern, add pink, purple, white and orange.

Answer: 35