/*! 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} Q52. Find the arithmetic means in eac... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q52. (page 582)

Find the arithmetic means in each sequence.

55, ? , ? , ? , 115

Short Answer

Expert verified

The arithmetic means in the sequence are70, 85, 100.

Step by step solution

01

Step 1. Given Information.

Given there are three arithmetic means between 55 and 115.

02

Step 2. Calculation.

The nth term of an arithmetic sequence is given byan=a1+(n鈭�1)d.

Since there are three arithmetic means between 55 and 115,

The first term is a1=55

And the fifth term is a5=115

Plugging the values in the formula:

an=a1+(n鈭�1)da5=a1+(5鈭�1)d115=55+4d4d=115鈭�554d=60d=15

Hence the common difference is 15.

Since the first term in the arithmetic sequence is 55:

The next term in the arithmetic sequence is 55+15=70

The next term in the arithmetic sequence is 70+15=85

The next term in the arithmetic sequence is 85+15=100

And the fifth term in the arithmetic sequence is 115.

03

Step 3. Conclusion.

Hence, the arithmetic means in the sequence are 70, 85, 100.

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 arithmetic means in each sequence.

3, ?, ?, ?, ?, ? , 27

Find the indicated term of each arithmetic sequence.

a1=鈭�4,d=鈭�9,n=20

Find the 15th term in the arithmetic sequence -3, 4, 11, 18, 鈥�.

Find the arithmetic means in each sequence.

10, ? , ? , -8

What number follows 20 in this arithmetic sequence?

8, 11, 14, 17, 20, 鈥�

A) 5

B) 23

C) 26

D) 29
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Statistics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

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.