CBSE Class 6 Mathematics
Question 16 of 25
Patterns in Mathematics — Question 18
Back to all questions 18
Question What happens when you multiply the triangular numbers by 6 and add 1? Which sequence do you get? Can you explain it with a picture?
Triangular numbers are 1, 3, 6, 10, 15, 21,…….
1 × 6 + 1 = 7
3 × 6 + 1 = 19 (increase of 12 i.e. 6 × 2)
6 × 6 + 1 = 37 (increase of 18 i.e. 6 × 3)
10 × 6 + 1 = 61 (increase of 24 i.e. 6 × 4)
15 × 6 + 1 = 91 (increase of 30 i.e. 6 × 5)
We get the sequence: 7, 19, 37, 61, 91,………..