/*! 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} Q 12.31. Find the eleventh term of a sequ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q 12.31. (page 1179)

Find the eleventh term of a sequence where the ninth term is 8 and the common difference is 鈭�3. Give the formula for the general term.

Short Answer

Expert verified

The eleventh term is 2 and the general term isan=35鈭�3n.

Step by step solution

01

Step 1. Given Informaation.

The ninth term is 8 and the common difference is 鈭�3.

02

Step 2. Find the first term by using the arithmetic formula.

Substitute 9 for n,-3 for d, and the ninth term are 8, in the formula an=a1+n鈭�1d.

role="math" localid="1645273827790" a9=a1+9鈭�1鈭�38=a1+8鈭�3a1=8+24=32

03

Step 3. Find the eleventh term.

Use the first term and common difference to find the eleventh term.

a11=32+11鈭�1鈭�3=32-30=2

04

Step 4. Find the general terms.

To find the general terms, substitute the first term 32 and the common difference -3 in the formula.

an=32+n鈭�1鈭�3=32鈭�3n+3=35鈭�3n

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

In the following exercises, expand each binomial.

(m+n)5

In the following exercises, expand each binomial.

(a+b)6

Expand the partial sum and find its value:鈭�i=154i

Write the first five terms of the sequence whose general term isan=鈭�1n+1n3

In the following exercises, expand each binomial using Pascal's Triangle.

(4x-1)3
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Geometry

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.