Final answer:
To predict the next number in the sequence 8, 12, 20, 32, 48, 68 using inductive reasoning, we need to look for a pattern or rule that connects the numbers in the sequence. By observing the sequence, we can see that each number is obtained by adding a multiple of 4 to the previous number.
Step-by-step explanation:
To predict the next number in the sequence 8,12,20,32,48,68 using inductive reasoning, we need to look for a pattern or rule that connects the numbers in the sequence. By observing the sequence, we can see that each number is obtained by adding a multiple of 4 to the previous number. Starting with 8, we add 4 to get 12, then add 8 to get 20, and so on. Therefore, the next number should be obtained by adding 12 to the previous number, which gives us 68+12=80.