Question

explain why the given conclusion uses inductive reasoning: 3 + 5 = 8 and 13 + 5 = 18, therefore the sum of two odd numbers is an even number.

Answer 1

Answer:

Inductive conclusion has been proved to be correct.

Step-by-step explanation:

From the question, we have seen that 3 + 5 = 8

3 and 5 are odd numbers while 8 is an even number.

Which means that the sum of both odd numbers gave and even number.

In the second case, we see that;

13 + 5 = 18

Again,13 and 5 are both odd numbers while 18 is an even number.

Now, Inductive Reasoning is a reasoning that is based on patterns one has observed which would be used to derive a general conclusion. In this question, the pattern observed is that the sum of odd numbers in both cases are equal to an even number.

Thus, we will arrive at a conjecture which is the general conclusion that the sum of 2 odd number is equal to an even number.