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Insert two numbers between 3 and 81 so that the resulting sequence is G.P.

Precalculus

Chapter 9

Sequences and Series

Section 3

Series

Introduction to Sequences and Series

Johns Hopkins University

Idaho State University

Boston College

Lectures

07:16

In mathematics, a continuo…

04:09

00:36

Describe the pattern for e…

00:17

Look for a pattern and pre…

00:43

Find the number of terms i…

00:59

Find $a_{1}$ for each arit…

01:03

Write an expression for th…

00:20

00:54

Find the 27 th term of eac…

01:55

Describe a pattern in each…

00:50

Make a conjecture about th…

00:53

01:58

use inductive reasoning to…

00:48

Find $S_{8}$ for each arit…

00:51

01:27

Find a formula for the $n$…

01:05

00:42

Find the next number in th…

02:21

Find the arithmetic means …

01:20

Find the number of terms, …

01:00

So we have problem number 26 in which we need to insert two numbers two numbers between three and 81 so that the resultant becomes the G. P. Becomes NGP. So let's get started three and 81. So let the two numbers be let us say G. Two and D. Three which means now we have a total number of terms as four. Okay. First time is three and last term that it ends term is 81. Okay so we have A. R. S. To the power and minus one equal to 81. A three Are we do not know artist. The power N. S four minus one equal to 81. So this is 27. So I raised the power three equal to 27. That is three is the power three. So our will be equal to three. The exponents are the same. So we have our equal to three. So when are equal to three. We have a we have all things for G. Two. The two will be into our so is too into three three and 2333 and 23 That is nine, three and 23 which is equal to nine. G. Three will be equal to a. R. Squared. So 19 to 3 that is 27. So two numbers are nine and 27. Mhm. So they should be answered playing the stomach.

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