MathDB

A6

Part of 1953 Putnam

Problems(1)

Putnam 1953 A6

Source: Putnam 1953

7/16/2022
Show that the sequence 7,7−7,7−7−7,… \sqrt{7} , \sqrt{7-\sqrt{7}}, \sqrt{7-\sqrt{7-\sqrt{7}}}, \ldots converges and evaluate the limit.
PutnamSequenceslimit