/*! 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. 12.1 Find a general term for the sequ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 12.1 (page 1167)

Find a general term for the sequence whose first five terms are shown12,14,18,116,132,鈥�

Short Answer

Expert verified

The general term for the given sequence isan=12n.

Step by step solution

01

Step 1. Given information

Thegivensequenceis12,14,18,116,132,鈥�Wehavetofindthegeneraltermforthegivensequence.

02

Step 2. Observing the pattern

n12345...nTerms121418116132...Pattern121122123124125...12n

03

Step 3. Conclusion

We can observe that the numerators are all 1 and the denominators are powers of 2.

Therefore, the general term will bean=12n

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 using Pascal's Triangle.

(3x-1)5

Find the twenty-seventh term of a sequence where the first term is 7 and the common difference is 9.

Write the first five terms of the sequence where the first term is 11 and the common difference is d = 鈭�8.

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

(2x+3y)3

Find a general term for the sequence whose first five terms are shown 1, 鈭�4, 9, 鈭�16, 25,...
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Pure 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.