The sum of the first four terms of an A.P is . The sum of the last four terms is . If its first term is , the number of terms is
Finding the no of terms:
Let be the first term of the arithmetic progression and be the common difference.
The first four terms of the arithmetic progression are
…(given)
The sum of the first four terms is,
The last four terms of the arithmetic progression can be written as
The sum of the last four terms is
Substitute values of
Hence, there are terms in the arithmetic progression.
Hence, option (B) is the correct answer.