/*! 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. 68 is the ___?__ th term of the ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q11. (page 581)

68 is the ___?__ th term of the arithmetic sequence -2, 3, 8, ... .

Short Answer

Expert verified

68 is the15th termof the arithmetic sequence -2, 3, 8, ....

Step by step solution

01

Step 1. Given Information.

Given arithmetic sequence is -2, 3, 8, ...

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�2

The difference between the first two terms is 3鈭�(鈭�2)=3+2=5

The difference between the second two terms is 8鈭�3=5

The common difference is d=5

The given nth term is an=68

Plugging the values in the formula:

an=a1+(n鈭�1)d68=鈭�2+(n鈭�1)(5)68+2=(n鈭�1)(5)(n鈭�1)(5)=70n鈭�1=705n鈭�1=14n=14+1n=15

03

Step 3. Conclusion.

Hence, 68 is the 15th term of the arithmetic sequence -2, 3, 8, ... .

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

Write an arithmetic sequence with common difference -5.

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

The numbers x, y and z are the first three terms of an arithmetic sequence. Express z in terms of x and y.

Find the first five terms of each arithmetic sequence described.

a1=41,d=5

To prove that objects of different weights fall at the same rate, Galileo dropped two objects with different weights from the Leaning Tower of Pisa in Italy. The objects hit the ground at the same time. When an object is dropped from a tall building, it falls about 16 feet in the first second, 48 feet in the second second, and 80 feet in the third second, regardless of its weight.How many feet would an object fall in the tenth second?
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Decision Maths

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Logic and Functions

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.