Art of Problem Solving
Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1971 AHSME Problems/Problem 29: Difference between revisions

Newer edit →
Created page with "== Problem 29 == Given the progression <math>10^{\dfrac{1}{11}}, 10^{\dfrac{2}{11}}, 10^{\dfrac{3}{11}}, 10^{\dfrac{4}{11}},\dots , 10^{\dfrac{n}{11}}</math>. The least posi..."
 
Line 9: Line 9:
\textbf{(D) }10\qquad  
\textbf{(D) }10\qquad  
\textbf{(E) }11    </math>
\textbf{(E) }11    </math>
[[1971 AHSME Problems/Problem 29|Solution]]


==Solution==
==Solution==

Revision as of 17:02, 22 August 2019

Problem 29

Given the progression $10^{\dfrac{1}{11}}, 10^{\dfrac{2}{11}}, 10^{\dfrac{3}{11}}, 10^{\dfrac{4}{11}},\dots , 10^{\dfrac{n}{11}}$. The least positive integer $n$ such that the product of the first $n$ terms of the progression exceeds $100,000$ is

$\textbf{(A) }7\qquad \textbf{(B) }8\qquad \textbf{(C) }9\qquad \textbf{(D) }10\qquad \textbf{(E) }11$

Solution

Retrieved from "https://wiki.aopstest.com/wiki/index.php?title=1971_AHSME_Problems/Problem_29&oldid=109231"