
Relation of Shape Sequences to Number Sequences
Relation of Shape Sequences to Number Sequences
Last updated at June 13, 2025 by Teachoo
Transcript
Question 2 Count the number of lines in each shape in the sequence of Complete Graphs. Which number sequence do you get? Can you explain why?Number of Lines in Complete Graphs: Number of lines are 1, 3, 6, 10, 15 So, the sequence is: 1, 3, 6, 10, 15, ... Which is triangular number sequence Explanation: Each line connects two different points. The total number of such pairs among n points is: Number of lines = (𝑛(𝑛 − 1))/2 This sequence is known as the Triangular Numbers.