1960 AHSME Problems/Problem 20
Problem
The coefficient of in the expansion of is:
Solution
By the Binomial Theorem, each term of the expansion is $\binom{8}{n}\left(\frac{x^2}{2}\right)^{8-n}(\left\frac{-2}{x}\right)^n$ (Error compiling LaTeX. ! Missing delimiter (. inserted).).
We want the exponent of to be , so
If , then the corresponding term is
The answer is .
See Also
1960 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 19 |
Followed by Problem 21 | |
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