If times the term is equal to times the term of an A.P. Prove that term of A.P is zero
Step 1: Find the relation between first term and common difference of given A.P.
A.P is a sequence of numbers in order in which difference between two consecutive numbers remains constant that is known as common difference.
Let the first term of the given A.P. be and its common difference be .
As the term of an A.P. is
So, its term will be
According to the question,
Step 2: Proving that term of given A.P is zero.
Now, term of A.P. is
[From Step 1]
Hence, it is proved that term of A.P is zero.