Sequence and Series ?
The fourth power of the common difference of an arithmetic 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 fourth power of the common difference of an arithmetic 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.
1 Answer
Apr 6, 2017
Refer to The Explanation.
Explanation:
As we need to consider
be easier to take the
The common difference, then, is
To prove that,
Hence, the Proof.