Consider the sequence shown.

A, E, I, …

Jorge reasons that the next letter in the sequence is M, since three letters of the alphabet are

skipped between each listed letter.

Should Marci agree with Jorge's inductive reasoning?

A

No; the sequence could be listing the vowels in alphabetical order.

B

No; sequences with only three terms are too short to use to find patterns.

C

Yes; this is the only reasonable pattern that can be identified from the terms.

D

Yes; inductive reasoning is a valid method for determining terms of a sequence.

Jorge reasons that the next letter in the sequence is M since three letters of the alphabet are skipped between each listed letter. Should Marci agree with Jorge's inductive reasoning is to be determined.

What is inductive reasoning?

Inductive reasoning is a form of definining determinations by proceeding with patterns specific to the usual. It's generally distinguished with deductive reasoning, there it proceeds from general knowledge to specific conclusions.

Here,

Jorge reasons that the next letter in the sequence is M in A, E, I, … since three letters of the alphabet are skipped between each listed letter.
And Yes, Marci agrees with Jorge's inductive reasoning is a valid method for determining the terms of a sequence.

Thus, Yes; inductive reasoning is a valid method for determining the terms of a sequence. Option D is correct.

Learn more about inductive reasoning here:
https://brainly.com/question/8419798
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