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
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