Difference between revisions of "2020 AMC 12B Problems/Problem 6"
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This expression can be shown as <cmath>\(n+1)(n+2-1) = (n+1)^2</cmath> | This expression can be shown as <cmath>\(n+1)(n+2-1) = (n+1)^2</cmath> | ||
which proves that the answer is <math>\textbf{(D)}</math>. | which proves that the answer is <math>\textbf{(D)}</math>. | ||
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Revision as of 19:25, 7 February 2020
Problem 6
For all integers the value of is always which of the following?
Solution
can be simplified by common denominator n!. Therefore,
This expression can be shown as
\[\(n+1)(n+2-1) = (n+1)^2\] (Error compiling LaTeX. Unknown error_msg)
which proves that the answer is .