Question about Bagatrix Algebra Solved! 2005 (105101) for PC

# 1.01^1000000 is greater or 10000 ?

This has to be solved using binomial theorem

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Try this... here we represent 1.01 as 1+.01
and so we have nCr and stuff... it can be noted that a number lesser than .01 when raised to power will result in a number lesser than it and hence the first term which is 1^1000000 will be greatest among the terms... so it can never be greater than 10000

Posted on Jan 31, 2008

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I am sorry to come in like that (5 years after the question was asked) and spoil your fun.
If you try to enter it on a regular calculator you will get an overflow error, memory error or some such thing. On the Windows calculator here is what I get.
2.3647358888701483369966440045217x10^(4321)

Posted on Mar 01, 2013

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The summation being preformed on the Ti 89. The actual summation was preformed earlier. I just wanted to show the symbolic value of (n) in both calculations. All I need to do is drop the summation sign to the actual calculation and, fill in the term value (k), for each binomial coefficient.

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binomial coefficient (n over k) for (x+y)^6
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This may help:
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Rate me, thanks.

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