/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q11. Find the sum of each arithmetic ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q11. (page 586)

Find the sum of each arithmetic series.

鈭�k=37(3k+4)

Short Answer

Expert verified

The sum of the arithmetic series is95.

Step by step solution

01

Step 1. Given Information.

Given arithmetic series is 鈭�k=37(3k+4).

02

Step 2. Calculation.

From the summation, the number of terms is n=5

The first term is given by plugging k=3:

ak=3k+4a3=3(3)+4a3=9+4a3=13

The last term is given by plugging k=7:

ak=3k+4a7=3(7)+4a7=21+4a7=25

The sum Sn of the first n terms of an arithmetic series is given by

Sn=n2(a1+an)

Here, a1=13,n=5,an=25

Plugging the values:

Sn=n2(a1+an)S5=52(13+25)S5=52(38)S5=5(19)S5=95

03

Step 3. Conclusion.

Hence, the sum is 95.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the indicated term of each arithmetic sequence.

a1=3,d=7,n=14

Write an equation for the nth term of each arithmetic sequence.

18, 11, 4, -3, ... .

Find the indicated term of each arithmetic sequence.

a1=20,d=4,n=81

Complete the statement for each arithmetic sequence.

124 is the ___?__ term of -2, 5, 12, ... .

Refer to the first three arrays of numbers below.

Write an equation representing the nth number in this pattern?
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.