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A Triangular number counts the objects that form an equilateral triangle. The nth triangular number is the number of dots in a triangle with n dots on a side. Find the general term an that 6 10 represents the number of dots in the nth triangle. (Hint: The pattern is one that we have seen somewhere in the course already)

A Triangular number counts the objects that form an equilateral triangle. The nth triangular number is the number of dots in a triangle with n dots on a side. Find the general term an that 6 10 represents the number of dots in the nth triangle. (Hint: The pattern is one that we have seen somewhere in the course already)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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A Triangular number counts the objects that form an equilateral triangle. The nth triangular number is the number of dots in a triangle with n dots on a side. Find the general term an that 1 6 10 represents the number of dots in the nth triangle. (Hint: The pattern is one that we have seen somewhere in the course already)
Transcribed Image Text:A Triangular number counts the objects that form an equilateral triangle. The nth triangular number is the number of dots in a triangle with n dots on a side. Find the general term an that 1 6 10 represents the number of dots in the nth triangle. (Hint: The pattern is one that we have seen somewhere in the course already)
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