Question 1131968
{{{ sum((1/2)^t, t=0, t=10) }}} = 
{{{ 1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 + 1/256 + 1/512 + 1/1024 }}} = 
{{{(1/1024)(1024+512+256+128+64+32+16+8+4+2+1) }}} =
{{{ (1/1024)(2^11-1) }}} =
{{{ highlight (2047/1024) }}}

---
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