Difference between revisions of "University of South Carolina High School Math Contest/1993 Exam/Problem 5"
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Notice that <math>f(3)=f(2+1)=f(2)+f(1)+1=f(2)+3</math>. Also, <math>f(2)=f(1+1)=f(1)+f(1)+1=5</math>. Thus, <math>f(3)=3+5=8</math>. | Notice that <math>f(3)=f(2+1)=f(2)+f(1)+1=f(2)+3</math>. Also, <math>f(2)=f(1+1)=f(1)+f(1)+1=5</math>. Thus, <math>f(3)=3+5=8</math>. | ||
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[[Category:Introductory Algebra Problems]] | [[Category:Introductory Algebra Problems]] |
Revision as of 12:28, 23 July 2006
Problem
Suppose that is a function with the property that for all and and What is the value of ?
Solution
Notice that . Also, . Thus, .