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(Solved) : Given Recursively Defined Sequence N N Show Terms Positive B Sequence Strictly Monotone In Q32122358 . . .

Given the recursively defined sequence (an) n∈Nwith

a_{1}=1 , a_{n+1}= sqrt{7+6a_{n}}

Show that
(a) all the terms are positive,
(b) the sequence is strictly monotone increasing,
(c) the sequence is restricted and
(d) the sequence is convergent.
(e) Then specify the limit lim n→ ∞​.
Note: In the case of subtasks (a) – (c), there is a small inductionproof

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