Two have the same common difference. The first term of one is and that of the other is . The difference between their terms is the same as the difference between their terms, which is the same as the difference between any two corresponding terms. Why?
Let's find the difference between any two corresponding terms in an
Let us there are two with first terms and
Let their common differences be and respectively
Suppose be any term
As the common difference is equal for both
We have
Using this we can solve the equation.
We know that the term of an is given by the formula
where,
first term
is the nth term
is the common difference
So,
As is a constant value
Therefore, the difference between any corresponding terms will be equal to .