Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

algebra intermediate

Problem

What is the value of if ?
Solution
The numerator is equal to . The exponent is the sum of the first 9 consecutive positive integers, so its sum is . So the numerator is .

The denominator is equal to . The exponent is twice the sum of the first 6 consecutive positive integers, so its sum is . So the denominator is .

The entire fraction becomes . Plugging in yields .
Final answer
125