Daniell Phillips

2022-01-07

Is there a pair of integers $(a,b)$ such that $a,{x}_{1},{y}_{1},b$ is part of an arithmetic sequences and $a,{x}_{2},{y}_{2},b$ is part of a geometric sequence with $x}_{1},{x}_{2},{y}_{1},{y}_{2$ all integers?

Jim Hunt

Beginner2022-01-08Added 45 answers

It is given that

Thus,

So,

So,

It is given that

Similarly,

Also,

Thus, from equations it is proved that there is a pair of integers

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V=??

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?

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