Question

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

Answer 1

11

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:

`a, b, c, d`

Then common difference =
`b-a=c-b=d-c`

Let the next term in the given sequence be
`x`.

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

`8-5=x-8\\\Rightarrow x=3+8\\\Rightarrow x =\bold{11}`

Therefore, the answer is: 11