/*! 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 91. Find the thirtieth term of a seq... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Find the thirtieth term of a sequence where the first term is −14 and the common difference is five.

Short Answer

Expert verified

131

Step by step solution

01

Step 1. Given Information.

The first term is −14 and the common difference is five.

02

Step 2. Formula used.

Write the formula of an arithmetic sequence.

an=a1+n−1d

Wherea1 is the first term andd is a common difference.

03

Step 3. Find the thirtieth term.

Substitute -15 for the first term, 5 for d, and 30 for nin the above formula.

a30=−14+30−15=-14+145=131

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.