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Chapter 12: Q 107. (page 812)

Write a paragraph that explains why the numbers found in Problem 103 are called triangular.

Short Answer

Expert verified

1,3,6,10,15,21and28 all these numbers are triangular numbers.

Step by step solution

01

Step 1. Write the given information.

The given information is:

Write a paragraph that explains why the numbers found in Problem 103 are called triangular.

02

Step 2. Write about triangular numbers.

A number that can be represented by a pattern of dots and arranged in an equilateral triangle with the same number of dots on each, is known as a triangular number.

In problem 103, we had calculated seven numbers 1,3,6,10,15,21and28, these numbers are called triangular because an equilateral triangle can be formed by each of these numbers.

We can also say that triangular numbers are obtained by adding a next natural number in the previously obtained number of a sequence.

1=13=1+26=1+2+310=1+2+3+415=1+2+3+4+521=1+2+3+4+5+628=1+2+3+4+5+6+7

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