<p>Given the recursively defined sequence (an) nâNwith</p><p><img alt="a_{1}=1 , a_{n+1}= sqrt{7+6a_{n}}" src="https://media.cheggcdn.com/media%2F78d%2F78d8f5a0-f20a-4f5e-babc-cdb452299e5f%2Feba00b7a-2c19-4061-acf3-49870ee9618b.png"/></p><p>Show that<br/>(a) all the terms are positive,<br/>(b) the sequence is strictly monotone increasing,<br/>(c) the sequence is restricted and<br/>(d) the