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.
Answer:
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.
Answer:
III. Write the next 3 numbers of the triangular series.
1, 3, 6, 10, 15, 21, ……., ……., …….
Answer:
28, 36, 45
You might like these

Practice the questions given in the worksheet on patterns in numbers. In daily life we see so many patterns around us but, here we will find the different types of patterns made by numbers.

We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only repeat. Such patterns are known as repeating patterns. A pattern has a group

In 5th grade Pattern worksheet, students can practice the questions on shapes and patterns. The questions are based on progressive patterns, number patterns, triangular numbers patterns, square numbers 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.

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

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
Didn't find what you were looking for? Or want to know more information
about Math Only Math.
Use this Google Search to find what you need.
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.