/*! 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} Q8. Find the a13 for the arithmetic ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q8. (page 581)

Find the a13 for the arithmetic sequence -17, -12, -7, 鈥�.

Short Answer

Expert verified

The a13 for the arithmetic sequence is43.

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is -17, -12, -7, 鈥�.

02

Step 2. Calculation.

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

Here the first term is a1=鈭�17

The difference between the first two terms is 鈭�12鈭�(鈭�17)=鈭�12+17=5

The difference between the next two terms is 鈭�7鈭�(鈭�12)=鈭�7+12=5

Hence, the common difference is d=5

And the required term is n=13

Plugging the values in the formula:

an=a1+(n鈭�1)da13=鈭�17+(13鈭�1)(5)a13=鈭�17+(12)(5)a13=鈭�17+60a13=43

03

Step 3. Conclusion.

Hence, the a13 for the arithmetic sequence is 43.

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.

-8, ? , ? , ?, ? , 7

Write the series 7 + 10 + 13 + 16 using sigma notation.

Find the indicated term of each arithmetic sequence.

a1=35,d=3,n=101

Find the next four terms of each arithmetic sequence.

6.7, 6.3, 5.9, 鈥�

Find Sn for each arithmetic series described.

localid="1648548029213" a1=132,d=鈭�4,an=52
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

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.