Prove that every term of the sequence

is a peferct square.

**Solution **[Αρχιμήδης 6]

Τhe numbers appearing in the sequence above are of the form:

that are indeed perfect squares. Also note that each term is an integer since

Hence .

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Prove that every term of the sequence

is a peferct square.

**Solution **[Αρχιμήδης 6]

that are indeed perfect squares. Also note that each term is an integer since

Hence .