Explanation Given Information: Natural numbers from 2 to 100. Formula used: The sum of first n terms of an arithmetic sequence is given by s n = n 2 ( a 1 + a n ) , the n th term is given by a n = a 1 + ( n − 1 ) d and the common difference d is given by d = a n + 1 − a n for any positive integer n ≥ 1 . Calculation: The even numbers from 2 to 100 can be represented in the form of an arithmetic sequence, 2 , 4 , 6 , … , 100 Here, the first term a 1 = 2 . The common difference d can be calculated by the formula d = a n + 1 − a n For n = 1 , d = a 1 + 1 − a 1 = a 2 − a 1 = 4 − 2 = 2 Now, apply the formula a n = a 1 + ( n − 1 ) d for a 1 = 2 , d = 2 and a n = 100 and solve for n : a n = a 1 + ( n − 1 ) d 100 = 2 + ( n − 1 ) 2 Subtra

6th Edition

ISBN: 9780321848741

Author: Marvin L. Bittinger

Publisher: PEARSON

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Chapter 14.2, Problem 37ES

To determine

To calculate: The sum of the even numbers from 2 to 100 (inclusive).

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Chapter 14.2, Problem 36ES

Chapter 14.2, Problem 38ES

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Chapter 14 Solutions

Elementary and Intermediate Algebra

Ch. 14.1 - Prob. 1YT Ch. 14.1 - Prob. 2YT Ch. 14.1 - Prob. 3YT Ch. 14.1 - Prob. 4YT Ch. 14.1 - Prob. 5YT Ch. 14.1 - Prob. 1ES Ch. 14.1 - Prob. 2ES Ch. 14.1 - Prob. 3ES Ch. 14.1 - Prob. 4ES Ch. 14.1 - Prob. 5ES

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