Which sequence do you get when you start to add the counting numbers up
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Expert Answer
Which sequence do you get when you start to add the counting numbers up Class 6
Question 1.
Which sequence do you get when you start to add the counting numbers up? Can you give a smaller pictorial explanation? Class 6
Solution:
1, (1 + 2), (1 + 2 + 3), (1 + 2 + 3 + 4), ... i.e., 1, 3, 6, 10, ...
Pictorial representation is as follows:
Question 2.
What happens when you add up pairs of consecutive triangular numbers? That is, take 1 + 3, 3 + 6, 6 + 10, 10 + 15, … Which sequence do you get? Why? Can you explain it with a picture? Class 6
Solution:
4, 9, 16, 25, ...; sequence of square numbers.
Pictorial representation:
