Answer the question and tell whether it illustrates inductive or deductive reasoning.

(a) What is the 50th consecutive even number?
1 .

(b) Is it illustrates inductive or deductive reasoning?
2
inductive reasoning
deductive reasoning
..

Solve the problem using inductive reasoning. Find the 12th square number that corresponds to the following dot sequence.


A. s12 = 144

B. s12 = 24

C. s12 = 169

D. s12 = 78
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To answer question (a), we can use deductive reasoning. Deductive reasoning involves using general principles or rules to reach a specific conclusion. In this case, we can start with the general knowledge that every even number can be represented as 2n, where n is an integer. Using this rule, we can deduce that the 50th consecutive even number would be 2 multiplied by 50, which equals 100.

Regarding question (b), the correct answer is deductive reasoning, not inductive reasoning. Inductive reasoning involves making observations or drawing conclusions based on patterns or trends, but in this case, we used a general rule (every even number can be represented as 2n) to reach a specific conclusion (the 50th consecutive even number is 100).