Question

What is the formula for finding the common difference in an arithmetic sequence

Answer 1

Step-by-step explanation:

The formula for finding common difference in an A. P. is:

t1-t2

Ex: In the sequence t1= 2, t2=4, t3=6 ,then find the common difference between two terms.

Ans:

Given : t1=2, t2=4 , t3=6

formula : Common difference (d)= t1-t2

Calculation: t1- t2

2-4

d= 2

Answer 2

Explanation:

The amount between each integer in an arithmetic sequence is the most common difference.... As a result, the formula for determining the common difference of an arithmetic sequence is

$Diff = X(n) - X(n-1)$

where, x(n) is the last item in the sequence.

x(n-1) is the previous term in the sequence.

For example,

We Assume arithmetic sequence is 1, 2, 3, 4, 5, 6, 7.

Here , X(n) = 7

           X(n-1) = 6

Diff = 7 - 6 => 1

So, common difference in an arithmetic sequence is 1.