Difference between revisions of "1968 AHSME Problems/Problem 17"

Revision as of 00:52, 16 August 2023

Problem

Let $f(n)=\frac{x_1+x_2+\cdots +x_n}{n}$ , where $n$ is a positive integer. If $x_k=(-1)^k, k=1,2,\cdots ,n$ , the set of possible values of $f(n)$ is:

$\text{(A) } \{0\}\quad \text{(B) } \{\frac{1}{n}\}\quad \text{(C) } \{0,-\frac{1}{n}\}\quad \text{(D) } \{0,\frac{1}{n}\}\quad \text{(E) } \{1,\frac{1}{n}\}$

Solution

$\fbox{C}$

1968 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 16	Followed by Problem 18
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35
All AHSME Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

@@ Line 13: / Line 13: @@
 == See also ==
-{{AHSME box|year=1968|num-b=16|num-a=18}}
+{{AHSME 35p box|year=1968|num-b=16|num-a=18}}
 [[Category: Introductory Algebra Problems]]
 {{MAA Notice}}

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Difference between revisions of "1968 AHSME Problems/Problem 17"

Revision as of 00:52, 16 August 2023

Problem

Solution

See also