0.767676... = ?
What is the EXACT value of the infinte series 0.767676.... ?
No approximations, please.
No approximations, please.
Labels: trickofmind
posted by Ragknot at
7:55 PM
Wednesday, February 11, 2009
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9 Comments:
76/99
this is a geometric series with r=76/100. Thus this decimal is equal to 76/99
this is a geometric series with r=76/100. Thus this decimal is equal to 76/99
its 42 coz its the answer to life the universe, and everything
okay. Say x=0.767676...
now, lets multiply 100 with x to get 100x=76.767676...
now, let's subtract x from 100x, thus the right of decimal point will disappear, leaving us with
99x=76 so if you divide both sides of the equal sign by 99, then we get x= 76/99. Since x also equals 0.767676... then x=76/99=0.767676..
someone's math homework..
thw extact number is never found 'cos 100 X 0.767676767676 is 76.7676767676 and subtract 0.7676767676 that equals 76 mean 76/99 but 0.767676767676 X 99 equals 75.99999999999999999999999999924...
reallylongnameandhairsohaforyou@hotmail.co.uk
well...
everyone else sadi 76/99
that will be my answer(but personally i think its 22/897)
i think it will be 76/99
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