/*! 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. 338 In the following exercises, find... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q. 338 (page 1222)

In the following exercises, find the sum.

鈭�i=1952i

Short Answer

Expert verified

The sum is 5110.

Step by step solution

01

Step 1. Given information.

Consider the given question,

鈭�i=1952i

Sum of first nterms of geometric sequence,

role="math" localid="1645339860696" Sn=a11-rn1-r......(i)

Expand the summation notation,

鈭�i=1952i=521+522+....+529=52+54+....+5512=10+20+....+2560

02

Step 2. Find the common ratio.

Consider the above expansion,

a1=10,n=9

To find the common ratio,

role="math" r=2010r=2

Substitute the values in equation (i),

S9=101-291-2=-101-29=5110

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

In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.

1,2,4,8,16,32,鈥�

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

(3x-5)3

Find the eighteenth term of a sequence where the fifth term is 12 and the common difference is seven.

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

(2x+3y)3
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

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.