1968 AHSME Problems/Problem 5: Difference between revisions

Revision as of 00:52, 16 August 2023

Problem

If $f(n)=\tfrac{1}{3} n(n+1)(n+2)$ , then $f(r)-f(r-1)$ equals:

$\text{(A) } r(r+1)\quad \text{(B) } (r+1)(r+2)\quad \text{(C) } \tfrac{1}{3} r(r+1)\quad \\ \text{(D) } \tfrac{1}{3} (r+1)(r+2)\quad \text{(E )} \tfrac{1}{3} r(r+1)(2r+1)$

Solution

$\fbox{A}$

1968 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 4	Followed by Problem 6
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

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: Unable to save thumbnail to destination

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 == See also ==
-{{AHSME box|year=1968|num-b=4|num-a=6}}
+{{AHSME 35p box|year=1968|num-b=4|num-a=6}}
 [[Category: Introductory Algebra Problems]]
 {{MAA Notice}}

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1968 AHSME Problems/Problem 5: Difference between revisions

Revision as of 00:52, 16 August 2023

Problem

Solution

See also