Answer
Arithmetic sequence is a sequence of numbers or terms in which the difference between two consecutive numbers or terms is constant.
Example-
Consider the sequence of 7 terms
= a , 5a, 9a, 13a, 17a, 21a, 25a.
Work Step by Step
Explanation-
Consider the sequence of 7 terms
= a , 5a, 9a, 13a, 17a, 21a, 25a.
First term $a_{1}$ = a
Difference between two consecutive terms = 25a - 21a = 21a - 17a = 17a - 13a = 13a - 9a = 9a - 5a = 5a - a = 4a
From above we can see that the difference between two consecutive term is constant so it is a arithmetic sequence.
