JEE Advance - Mathematics (2000 - No. 11)
The fourth power of the common difference of an arithmatic progression with integer entries is added to the product of any four consecutive terms of it. Prove that the resulting sum is the square of an integer.
The resulting sum is always a prime number.
The resulting sum is the square of an integer.
The resulting sum is always divisible by 4.
The resulting sum is always an odd number.
The resulting sum is equal to the common difference.