32
Use Inductive Reasoning To Find A Pattern, And Then Make A Reasonable Conjecture For The Next Number In The Sequence.1 2 4 8 16 ____?
1 + 1 = 2 2 + 2 = 4 4 + 4 = 8 8 + 8 = 16 16 + 16 = 32
The second number is the first plus 1. It is also equal to 2 times the first number.
The third number is the second plus 2, two times the second number.
Supposition: Each successive number is 2 times the one before it.
The next number in the sequence is 2 times 16, which is 32.
The third number is the second plus 2, two times the second number.
Supposition: Each successive number is 2 times the one before it.
The next number in the sequence is 2 times 16, which is 32.
36