Difference between revisions of "2007 iTest Problems/Problem 5"
(New page: ==Problem== Compute the sum of all twenty-one terms of the geometric series <cmath>1 + 2 + 4 + 8 + \ldots + 1048576</cmath>. <math>\mathrm{(A)}\,2097149\quad\mathrm{(B)}\,2097151\quad\mat...) |
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==See Also== | ==See Also== | ||
+ | {{iTest box|year=2007|num-b=4|num-a=6}} | ||
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+ | [[Category:Introductory Algebra Problems]] |
Latest revision as of 20:46, 14 January 2008
Problem
Compute the sum of all twenty-one terms of the geometric series
.
Solution
Those are powers of 2. So it would make sense to multiply the series by 2:
Subtracting,
See Also
2007 iTest (Problems, Answer Key) | ||
Preceded by: Problem 4 |
Followed by: Problem 6 | |
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