1958 AHSME Problems/Problem 37
Problem
The first term of an arithmetic series of consecutive integers is $k^2 \plus{} 1$ (Error compiling LaTeX. Unknown error_msg). The sum of $2k \plus{} 1$ (Error compiling LaTeX. Unknown error_msg) terms of this series may be expressed as:
$\textbf{(A)}\ k^3 \plus{} (k \plus{} 1)^3\qquad \textbf{(B)}\ (k \minus{} 1)^3 \plus{} k^3\qquad \textbf{(C)}\ (k \plus{} 1)^3\qquad \\ \textbf{(D)}\ (k \plus{} 1)^2\qquad \textbf{(E)}\ (2k \plus{} 1)(k \plus{} 1)^2$ (Error compiling LaTeX. Unknown error_msg)
Solution
See Also
| 1958 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 36 |
Followed by Problem 38 | |
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