A factory makes custom sports cars at an increasing rate.

Problem 21E Chapter 2.4

Discrete Mathematics and Its Applications | 7th Edition

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Problem 21E

A factory makes custom sports cars at an increasing rate. In the first month only one car is made, in the second month two cars are made, and so on. with n cars made in the nth month.a) Set up a recurrence relation for the number of cars produced in the first n months by this factory.________________b) How many cars arc produced in the first year?________________c) Find an explicit formula for the number of cars produced in the first n months by this factory.

Step-by-Step Solution:

Solution Step 1:A factory makes custom sports cars at an increasing rate.In the first month only one car is made,in the second month two cars are made,and so on.with n cars made in the monthStep 2:(a) Set up a recurrence relation for the number of cars produced in the first n months by this factory.we have to set up a recurrence relation for number of cars produced in the first n months by this factory.Since the cars produced is 1 greater than previous year,hence the recurrence relation for the number of cars produced in the first n months will be With initial condition

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ISBN: 9780073383095

This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. This full solution covers the following key subjects: cars, made, produced, month, Factory. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “A factory makes custom sports cars at an increasing rate. In the first month only one car is made, in the second month two cars are made, and so on. with n cars made in the nth month.a) Set up a recurrence relation for the number of cars produced in the first n months by this factory.________________b) How many cars arc produced in the first year?________________c) Find an explicit formula for the number of cars produced in the first n months by this factory.” is broken down into a number of easy to follow steps, and 84 words. The full step-by-step solution to problem: 21E from chapter: 2.4 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 21E from 2.4 chapter was answered, more than 291 students have viewed the full step-by-step answer.

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