/*! 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 12.50 Find the sum of the first 20聽te... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q 12.50 (page 1190)

Find the sum of the first 20terms of the geometric sequence6,18,54,162,486,1,458,鈥�

Short Answer

Expert verified

Sum of the first 20terms of the geometric sequence is -31-320.

Step by step solution

01

Step 1. Given information

The geometric sequence is6,18,54,162,486,1,458,...

02

Step 2. Find the first term and the common ratio.

Consider the geometric sequence 6,18,54,162,486,1,458,...

Let a,rdenote the first term and the common ratio respectively.

a=6r=186=3

03

Step 3. Find the sum of the first 20 terms of the geometric sequence.

Put a=6,r=3,n=20in Sn=a1-rn1-r

S20=61-3201-3=-31-320

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.

(x+y)3

Write the first five terms of the sequence where the first term is 7 and the common ratio is r=-3.

Find the coefficient of the x5 term of(x+4)8

In the following exercises, expand each binomial.

(m+n)5

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

(a+b)8
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

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.