Question

Identify whether the following statement is inductive or deductive reasoning:
You are told a sequence of numbers follows the rule that the next term is the product of the two previous terms. The first few numbers in the sequence are -1, 2, -2…. You conclude that the next number must be -4.

Answer 1

inductive means "it's most probably ..."
deductive means "it must be..."

Answer 2

inductive goes from the particular to general

deductive goes from the general tp the particular

so its inductive

Answer 3

I think it's deductive

Answer 4

whenever you're using an explicit rule or stated fact to derive some other fact, you're using deductive reasoning

Answer 5

If you were just given the sequence -1, 2, -2 and had no explicit rule for generating terms, then you might guess that the next term is -4

but you could also guess the next term is 3 since it also appears that the sequence is -1, 2, -2, 3, -3, 4, -4, 5, -5, ...etc

if you were making this guess, then you would be using inductive reasoning