# Sequence and Series ?

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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

#### Answer:

Refer to The Explanation.

#### Explanation:

As we need to consider **A.P.,** it will

be easier to take the

The common difference, then, is

To prove that,

Hence, the **Proof.**