Difference between revisions of "1958 AHSME Problems/Problem 37"
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== Problem == | == Problem == | ||
| − | The first term of an arithmetic series of consecutive integers is <math> k^2 | + | The first term of an arithmetic series of consecutive integers is <math> k^2 + 1</math>. The sum of <math> 2k + 1</math> terms of this series may be expressed as: |
| − | <math> \textbf{(A)}\ k^3 | + | <math> \textbf{(A)}\ k^3 + (k + 1)^3\qquad |
| − | \textbf{(B)}\ (k | + | \textbf{(B)}\ (k - 1)^3 + k^3\qquad |
| − | \textbf{(C)}\ (k | + | \textbf{(C)}\ (k + 1)^3\qquad \\ |
| − | \textbf{(D)}\ (k | + | \textbf{(D)}\ (k + 1)^2\qquad |
| − | \textbf{(E)}\ (2k | + | \textbf{(E)}\ (2k + 1)(k + 1)^2</math> |
== Solution == | == Solution == | ||
| − | <math> | + | <math>Option A</math> |
== See Also == | == See Also == | ||
Latest revision as of 08:43, 24 February 2022
Problem
The first term of an arithmetic series of consecutive integers is 
. The sum of 
terms of this series may be expressed as:
Solution
See Also
| 1958 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 36 |
Followed by Problem 38 | |
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| All AHSME Problems and Solutions | ||
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