Fill in the blanks. You can use the formula Sn=(n)/(2)(a1+an) to find the sum of the first n ter

Name: Problem 4, Chapter 8: College Algebra
Uploaded: 2021-10-27T08:03:13-08:00
Duration: 52 s
Channel: Yujie Wang
Description: Fill in the blanks. You can use the formula Sn=(n)/(2)(a1+an) to find the sum of the first n terms of an arithmetic sequence, which is called the of a .

step 1 Okay, so the formula S and S sub equals n over 2 times A sub 1 plus A sub n. We can use this for

Question

Fill in the blanks. You can use the formula $S_{n}=\frac{n}{2}\left(a_{1}+a_{n}\right)$ to find the sum of the first $n$ terms of an arithmetic sequence, which is called the of a .

   Fill in the blanks.
You can use the formula $S_{n}=\frac{n}{2}\left(a_{1}+a_{n}\right)$ to find the sum of the first $n$ terms of an arithmetic sequence, which is called the ______ of a ______ ______ ______.

College Algebra

Ron Larson 9th Edition

Chapter 8, Problem 4

Instant Answer

Solved by Expert Yujie Wang

10/27/2021

Step 1

This formula is used to find the sum of the first $n$ terms of an arithmetic sequence. Show more…

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Fill in the blanks. You can use the formula $S_{n}=\frac{n}{2}\left(a_{1}+a_{n}\right)$ to find the sum of the first $n$ terms of an arithmetic sequence, which is called the ______ of a ______ ______ ______.

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Key Concepts

Arithmetic Sequence

An arithmetic sequence is a list of numbers where each term is obtained by adding a constant value, known as the common difference, to the previous term. This concept forms the basis for understanding linear patterns and progressions in mathematics.

Arithmetic Series

An arithmetic series is the sum of the terms of an arithmetic sequence. It involves adding together all the elements of the sequence, which can be efficiently calculated using a formula rather than summing each term individually.

Sum Formula for Arithmetic Series

The sum formula S? = (n/2)(a? + a?) is used to sum the first n terms of an arithmetic series. This formula works by taking the average of the first and last term of the sequence and multiplying it by the number of terms, providing a quick and effective way to calculate the total sum.

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