/*! 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. 6 In the following exercise, write... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In the following exercise, write the first five terms of the sequence whose general term is given.

an=3n−1

Short Answer

Expert verified

The first five terms of the sequence whose general term isan=3n−1are2,8,26,80,242.

Step by step solution

01

Step 1. Given information

Thegeneraltermforthesequenceisgivenasan=3n−1Wehavetofindthefirstfivetermsofthesequence.

02

Step 2. Calculating the terms

Wewillsubstituten=1,2,3,4and5intheordertoobtainthefirstfivetermsofthesequence.Now,

n12345ana1=31−1=3−1=2a2=32−1=9−1=8a3=33−1=27−1=26a4=34−1=81−1=80a5=35−1=243−1=242

03

Step 3. Conclusion

From the above step, we can conclude that the first five terms of the sequence will be2,8,26,80,242.

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 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.