# Triangular Numbers Pattern

Let us consider the following series of numbers. 1, 3, 6, 10, 15, 21, ….

If we represent each number of above series by a dot and arrange them in such a way that they make a triangle. Such numbers are known as triangular numbers.

Look at the following arrangements of dots.

The triangular numbers are 1, 3, 6, 10, 15, 21, 28, 36, …

The rule to find the triangular number in a series is:

First term = 1

Second term = First term + 2

Third term = Second term + 3

Fourth term = Third term + 4 and so on.

Examples on Triangular Numbers Pattern:

1. Find the next triangular number in the series 45, 55, …

Solution:

The difference of two terms = 55 – 45 = 10

To get the next term we add 1 more to the previous term difference = 10 + 1 = 11

The next term is 55 + 11 = 66

Questions and Answers on Triangular Numbers Pattern:

I. Given below is a triangular pattern. The dots on each side are same. Draw appropriate number of dots in the empty box to get the next figure of the pattern.

II. In the given triangular puzzle, the numbers in the circle add together to make the number in the rectangle. Find the missing numbers in the puzzle.

III. Write the next 3 numbers of the triangular series.

1, 3, 6, 10, 15, 21, ……., ……., …….

28, 36, 45

## You might like these

• ### Math Patterns | Missing Counting Number | Math Printable Patterns

In math patterns we need to find the next counting numbers in the series to maintain an order. We need to find the exact missing number that from the group of numbers. The counting numbers may be counting up or counting down. We need to find the missing numbers that

• ### Square Numbers Patterns | Patterns in Square Numbers | Math Patterns

We will learn Patterns in Square Numbers: Math Patterns. Let us consider the following series of numbers. 1, 4, 9, 16, 25, … If we represent each number of above series by a dot and arrange them in such a way that they make a square. Such numbers are known as square numbers

• ### Progressive Patterns |Math Patterns |Questions and Answers on Patterns

A pattern that increases or decreases in two or more ways are called progressive patterns. These patterns are combination of more than one change. It can very in combination of size, color and value.