SOLUTION: 2: compute 10 (Sigma)(1/2)^t t=0

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Question 1131968: 2: compute
10
(Sigma)(1/2)^t
t=0
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+sum%28%281%2F2%29%5Et%2C+t=0%2C+t=10%29+ =
=
%281%2F1024%29%281024%2B512%2B256%2B128%2B64%2B32%2B16%2B8%2B4%2B2%2B1%29+ =
+%281%2F1024%29%282%5E11-1%29+ =
+highlight+%282047%2F1024%29+
---
Verify:
perl -e '$s=0; for($i=0;$i<=10;$i++) { $s += 2**$i;} print "sum = $s/1024\n"; $f=$s/1024; print "or $f\n";'
sum = 2047/1024
or 1.9990234375