Use inductive reasoning to predict the next complete line in the pattern.
10 × 12 = 11 × 13 - 23
12 × 14 = 13 × 15 - 27
14 × 16 = 15 × 17 - 31
Don't you see the pattern?
16 x 18 = 17 x 19 - 35
To use inductive reasoning to predict the next complete line in the pattern, let's analyze the given pattern:
10 × 12 = 11 × 13 - 23
12 × 14 = 13 × 15 - 27
14 × 16 = 15 × 17 - 31
The pattern appears to be that each line involves multiplying two consecutive numbers and subtracting a certain value from the product to obtain the first number in the next line. The value being subtracted increases by 4 each time.
So, to predict the next complete line, we can follow the same pattern:
16 × 18 = 17 × 19 - 35
Therefore, the predicted next complete line in the pattern is 16 × 18 = 17 × 19 - 35.