If a = b and c = d, then a + c = b + d. is this Deductive or Inductive?

Answer

Its “deductive”. The idea is that “deductive” arguments means that you “deduced” your conclusion based on earlier “facts”.

Inductive argument however is different. For example, whats the nth term or “pattern” for the below :
2, 4, 6 , …

You “guess” that its
2(1), 2(2), 2(3) …
and “inductively” guess that the nth term must be 2n.

Nevertheless, how do we “prove it”?
Use the method of “induction”… that’s a different story.