What sequence of numbers is printed by the following...

What sequence of numbers is printed by the following algorithm if it is started with input values 0 and 1 ? procedure MysteryWrite (Last, Current) if (Current $<100$ ) then (print the value assigned to Current; Temp $\leftarrow$ Current + Last; apply MysteryWrite to the values Current and Temp)

What sequence of numbers is printed by the following algorithm if it is started with input values 0 and 1 ?
procedure MysteryWrite (Last, Current) if (Current $<100$ ) then
(print the value assigned to Current; Temp $\leftarrow$ Current + Last;
apply MysteryWrite to the values Current and Temp)

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Key Concepts

Recursion

Recursion is a programming technique where a function calls itself to solve smaller instances of a problem. This method breaks down complex problems into simpler ones, and it is particularly useful in situations where the solution can naturally be expressed in terms of similar subproblems.

Base Case (Termination Condition)

A base case is an essential part of a recursive function as it defines the condition under which the recursion stops. Without a well-defined base case, recursive algorithms may result in infinite loops. The base case ensures that eventually a simple case is reached that can be solved directly without further recursion.

Fibonacci Sequence

The Fibonacci sequence is a famous series in which each number is the sum of the two preceding numbers, usually starting with two given numbers. The concept of generating a Fibonacci-like sequence through recursion involves using a recurrence relation where subsequent terms are computed by adding the previous two, demonstrating a natural application of recursion and base cases.

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