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Date Figurate Numbers I. The triangular numbers are the whole numbers that are represented by certain triangular arrays of dots. The first five triangular numbers are shown* Look for a pattern that the numbers follow. 1. Complete the following table. Number Number of Dots Triangular Number 2. Make a sketch to represent the sixth triangular number. What is the sixth triangular number 3. How many dots are there in the seventh triangular number Did you observe the following pattern The 5th...

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How to fill out figurate numbers practice problem

How to fill out figurate numbers:

01

Start by understanding what figurate numbers are. Figurate numbers are a sequence of numbers that can be represented geometrically. They include square numbers, triangular numbers, pentagonal numbers, and so on. Each type of figurate number has its unique pattern and formula for generating the sequence.

02

Choose which type of figurate numbers you want to fill out. Let's say you want to fill out triangular numbers as an example.

03

Begin by identifying the starting number. For triangular numbers, the sequence usually starts with 1.

04

Calculate the next number in the sequence based on the pattern. With triangular numbers, you add the consecutive natural numbers. So, the next number after 1 would be 1 + 2 = 3.

05

Continue this process until you have filled out the desired number of figurate numbers. For example, if you want to fill out the first 10 triangular numbers, you would continue adding the next consecutive natural numbers (4, 5, 6, 7, 8, 9, 10, 11, 12) to get the complete sequence.

Who needs figurate numbers?

01

Mathematicians: Figurate numbers are a fascinating concept in mathematics and have been studied extensively by mathematicians throughout history. They use them to explore patterns, relationships, and mathematical structures.

02

Students: Figurate numbers are often taught in schools as part of number theory or recreational mathematics. They help students develop problem-solving skills and understand mathematical patterns.

03

Puzzle enthusiasts: Figurate numbers are often used in puzzles, brain teasers, and games. They provide a fun and challenging way to test one's mathematical abilities and logical thinking.

In conclusion, understanding how to fill out figurate numbers involves recognizing the pattern and formula for the specific type of figurate number you are working with. This concept is useful for mathematicians, students, and puzzle enthusiasts alike.

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