2. A new company John's Recruitment Hub was recently established. In the first month, it was able to recruit 1 new employee. In 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

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
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2.
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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