Question

Solve the puzzle and follow me.......​

Answer 1

Step-by-step explanation:

123=1×2+2×3=2+6=8

234=2×3+3×4=6+12=18

345=3×4+4×5=12+20=32

456=4×5+5×6=20+30=50

567=5×6+6×7=30+42=72

Answer 2

Given a pattern puzzle, find the next in the series

Explanation:

1. the pattern followed by the given puzzle can be understood as sum of products of consecutive numbers in the left side columns of the puzzle box.
2. For example if left three columns have 'a', 'b' and 'c' than the corresponding right box will have $(ab+bc)$  
3. hence here we have,                                                                                                 [tex]123=(1x2)+(2x3)=2+6=8\\ 234=(2x3)+(3x4)=6+12=18\\ 345=(3x4)+(4x5)=12+20=32\\ 456=(4x5)+(5x6)=20+30=50\\\\ ANSWER: 567=(5x6)+(6x7)=30+42=72[/tex]  
4. the solution to the given is $72$