Please help me solve this ### Problem 3Consider the function $ f : \mathbb{N} \rightarrow \mathbb{N} $ given by $ f(1) = 1 $ and $ f(n) = f(n-1) + n - 1 $.1. Compute $ f(4) $ by hand.2. Write a recursive function in either Python or Java that implements this function. Use it to compute $ f(4) $ and check that you got the same result.

Algorithm:Define a function f(n) which takes an integer n as input.If n is equal to 1, return 1…

Answered: Problem 3 Consider the function f: N→ N…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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### Problem 3

Consider the function $ f : \mathbb{N} \rightarrow \mathbb{N} $ given by $ f(1) = 1 $ and $ f(n) = f(n-1) + n - 1 $.

1. Compute $ f(4) $ by hand.
2. Write a recursive function in either Python or Java that implements this function. Use it to compute $ f(4) $ and check that you got the same result.

Expert Solution

Step 1: Algorithm of the program:

Algorithm:

Define a function f(n) which takes an integer n as input.
If n is equal to 1, return 1 (base case).
Otherwise, return the result of calling $straight f left parenthesis straight n space minus space 1 right parenthesis$ and adding $straight n space minus space 1$ to it.

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