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The fourth power of common difference of...

The fourth power of 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.

Text Solution

Verified by Experts

`D^4` + (Product of any four term of AP) =
square of an integer
`2^4 + (2×4×6×8)`
`=16 + 384`
`=400`
...
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