Exercise 7.1

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Exercise 7.1#

Question 1#

Consider the following series:

\begin{array}{r} T_{0} = 1 \\ T_{n} = (T_{n - 1})^{3 / 2} + 2 \end{array}

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{aligned} T_{0} & = 1 \\ T_{1} & = 1 \\ T_{n} & = T_{n - 1} + T_{n - 2} \end{aligned}