Difference between revisions of "1950 AHSME Problems/Problem 39"
Mrdavid445 (talk | contribs) (Created page with "==Problem== Given the series <math> 2\plus{}1\plus{}\frac {1}{2}\plus{}\frac {1}{4}\plus{}...</math> and the following five statements: (1) the sum increases without limit (2) t...") |
|||
Line 14: | Line 14: | ||
\textbf{(D)}\ \text{Only }2,3\text{ and }4 \qquad | \textbf{(D)}\ \text{Only }2,3\text{ and }4 \qquad | ||
\textbf{(E)}\ \text{Only }4\text{ and }5</math> | \textbf{(E)}\ \text{Only }4\text{ and }5</math> | ||
+ | |||
+ | ==Solution== | ||
+ | {{solution}} | ||
+ | |||
+ | ==See Also== | ||
+ | {{AHSME 50p box|year=1950|num-b=38|num-a=40}} | ||
+ | |||
+ | [[Category:Introductory Algebra Problems]] |
Revision as of 07:39, 29 April 2012
Problem
Given the series $2\plus{}1\plus{}\frac {1}{2}\plus{}\frac {1}{4}\plus{}...$ (Error compiling LaTeX. Unknown error_msg) and the following five statements: (1) the sum increases without limit (2) the sum decreases without limit (3) the difference between any term of the sequence and zero can be made less than any positive quantity no matter how small (4) the difference between the sum and 4 can be made less than any positive quantity no matter how small (5) the sum approaches a limit Of these statments, the correct ones are:
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
1950 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 38 |
Followed by Problem 40 | |
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 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
All AHSME Problems and Solutions |