Exercise 7.1#
Question 1#
Consider the following series:
\[\begin{align*}
T_0 = 1\\
T_n = \left(T_{n - 1}\right)~^{3/2} + 2
\end{align*}\]
calculate the value of \(n\) where \(T_n\) first exceeds a value of 100.
Hint: You may wish to use a while loop.
(The answer is \(n = 4\))
Question 2#
Calculate the \(N\)-th term in the Fibonacci sequence, where \(N\) is given as a user input. The sequence is given by:
\[\begin{align*}
T_0 &= 1 \\
T_1 &= 1 \\
T_n &= T_{n-1} + T_{n-2}\\
\end{align*}\]