The pattern is:
Series pattern is =6+9+12+15
6+6=12 is missing
Each handshake involves 2 people.
Formula for handshakes = n_(n-1) / 2
Where n = number of people
Here n = 12
Handshakes = 12 _ (12-1) / 2
Handshakes = 12 * 11 / 2
Handshakes = 132 / 2
Handshakes = 66
Last verified on 03-08-2026
Pattern: n _ (n+1) _ (n+1)
1st term: 1 _ 2 _ 1 = 2
2nd term: 2 _ 3 _ 2 = 12
3rd term: 3 _ 4 _ 3 = 36
4th term: 4 _ 5 _ 4 = 80
5th term: 5 _ 6 _ 5 = 150
6th term: 6 _ 7 _ 6 = 252
Last verified on 02-08-2026
The pattern is n×(n+1).
2 × 3 = 6
3 × 4 = 12
4 × 5 = 20
5 × 6 = 30
9 × 10 = 90
The pattern is ×2 + 2:
5 × 2 + 2 = 12
12 × 2 + 2 = 26
26 × 2 + 2 = 54
54 × 2 + 2 = 110
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