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4 votes
What is the common difference or common ratio of the sequence 3,7,11,15...?

2 Answers

4 votes

Hi there!

The question is asking us to find the common difference (or ratio) of the sequence.

First of all, what is the difference between a common difference and a common ratio?

Common Difference

This is the amount we add/subtract to get to the next term. This only happens in an arithmetic progression.

A common ratio, on the other hand, is an amount that we multiply/divide by to get to the next term. This happens in geometric progressions.


\rule{350}{4}

With this in mind, we will take a look at the sequence provided here:

3, 7, 11, 15...

Which operation do we perform to obtain the next term? Is it addition, subtraction, multiplication, or division? Well, clearly, we add 4 each time. So we automatically know that in this case, we have the common difference. That difference is 4.

Have a fantastic day!


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User Itay Kinnrot
by
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5 votes

Answer: you only add 4 each time

Explanation:

User Starr Lucky
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3.6k points