Skip to main content
OlympiadHQ

Browse · MATH

Print

jmc

algebra junior

Problem

Each successive term in the sequence is obtained by multiplying the previous term by a constant. What is the value of ?
Solution
Call the constant . To get from to , we multiplied by , so , or . To get from 128 to , we multiply by , so . To get from 32 to , we multiply by , so . Thus, .
Final answer
40