If 5, 8 are two adjacent terms in an arithmetic sequence (in that order), then the next term is

11

Step-by-step explanation:

Given that:

Two adjacent terms of an arithmetic sequence are given as 5, 8.

To find:

The next term = ?

Solution:

First of all, let us learn about an arithmetic sequence and its property.

An Arithmetic sequence (sometimes known as Arithmetic Progression or an AP), is a sequence in which there is a common difference between every two terms.

Suppose, an arithmetic sequence is:

Then common difference =

Let the next term in the given sequence be .

Then as per the property of an Arithmetic sequence, we can say:

Therefore, the answer is: 11

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