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2. A new company John's Recruitment Hub was recently established. In the first month, it was able to recruit 1 new employee. In the second month, it was able to recruit 2 more, and so on, with n new recruits made in nth month. Assume that everyone stays with the company. A. How many employees will be there at the end of the 3rd year? B. Find the number of recruits at the end of the nth month. Give both the recurrence relation and the explicit (closed form) formula. Write expressions in their simplest form.

2. A new company John's Recruitment Hub was recently established. In the first month, it was able to recruit 1 new employee. In the second month, it was able to recruit 2 more, and so on, with n new recruits made in nth month. Assume that everyone stays with the company. A. How many employees will be there at the end of the 3rd year? B. Find the number of recruits at the end of the nth month. Give both the recurrence relation and the explicit (closed form) formula. Write expressions in their simplest form.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2. A new company John's Recruitment Hub was recently established. In the first month, it was able to recruit 1 new employee. In the second month, it was able to recruit 2 more, and so on, with n new recruits made in nth month. Assume that everyone stays with the company. A. How many employees will be there at the end of the 3rd year? B. Find the number of recruits at the end of the nth month. Give both the recurrence relation and the explicit (closed form) formula. Write expressions in their simplest form.
Transcribed Image Text:2. A new company John's Recruitment Hub was recently established. In the first month, it was able to recruit 1 new employee. In the second month, it was able to recruit 2 more, and so on, with n new recruits made in nth month. Assume that everyone stays with the company. A. How many employees will be there at the end of the 3rd year? B. Find the number of recruits at the end of the nth month. Give both the recurrence relation and the explicit (closed form) formula. Write expressions in their simplest form.
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