Answer:
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:
[tex]a, b, c, d[/tex]
Then common difference = [tex]b-a=c-b=d-c[/tex]
Let the next term in the given sequence be [tex]x[/tex].
Then as per the property of an Arithmetic sequence, we can say:
[tex]8-5=x-8\\\Rightarrow x=3+8\\\Rightarrow x =\bold{11}[/tex]
Therefore, the answer is: 11
