given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000

QAmmunity.org

My account
Edit my Profile
Private messages
My favorites

Ask a Question
Questions
Unanswered
Tags
Categories
Ask a Question

asked Aug 18, 2022 211k views

0 votes

given a geomatric progression 2,6,18,54... find the smallest value of n such that the nth term is greater than 100000

Mathematics
high-school

Calvin Ellington asked

by Calvin Ellington

4.4k points

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

4 votes

Answer:

hello,

Explanation:

$u_1=2=2*3^0\\u_2=6=2*3^1\\u_3=18=2*3^2\\u_4=54=2*3^3\\\\....\\u_n=2*3^(n-1)\geq 100000\\\\3^(n-1)\geq 50000\\\\(n-1)*ln(3)\geq ln(50000)\\\\n-1\geq 9,848586...\\\\n\geq 10.848586....\\\\\boxed{n=11}\\$

Djq answered Aug 22, 2022

by Djq

4.6k points

0 Comments

Please log in or register to add a comment.

Ask a Question

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

4.5m questions

5.7m answers

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 Comments

Please log in or register to add a comment.

Other Questions