Question

Find the sum of each arithmetic series. $1+2+3+\dots+n$

   Find the sum of each arithmetic series.

$1+2+3+\dots+n$

Precalculus Functions and Graphs

Precalculus Functions and Graphs

Mark Dugopolski 4th Edition

Chapter 11, Problem 73

Instant Answer

Solved by Expert Linh Vu

04/08/2020

Step 1

Step 1: The sum of an arithmetic series can be found using the formula: $$S = \frac{n}{2}(a + l)$$ where $n$ is the number of terms, $a$ is the first term, and $l$ is the last term. Show more…

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Find the sum of each arithmetic series. $1+2+3+\dots+n$

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Key Concepts

Arithmetic Series Sum Formula

The sum of an arithmetic series can be calculated using the formula S = n/2 * (a1 + an), where n is the number of terms, a1 is the first term, and an is the last term. This formula offers a quick means to find the total without having to add each term individually.

Arithmetic Series

An arithmetic series is the sum of the terms of an arithmetic sequence, where each term increases or decreases by a constant difference. This type of sequence is fundamental in understanding patterns in numbers and provides a straightforward way to compute successive sums.

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