Use the summation formulas to rewrite the expression without the

William Burnett 2021-12-17 Answered
Use the summation formulas to rewrite the expression without the summation notation. Use the result to find the sums for n=10,100,1000, and 10,000. i=1n2i+1n2
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rodclassique4r
Answered 2021-12-18 Author has 37 answers
i=1n2i+1n2
=1n2i=1n2i+1
=2n2i=1ni+1n2i=1n1
Remember that:
i=1ni=n(n+1)2
and
i=1n1=n
=2n2n(n+1)2+1n2n
=n+1n+1n
=n+2n
=1+2n
n1+2n101.21001.0210001.002100001.0002

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Joseph Fair
Answered 2021-12-19 Author has 34 answers
Interesting answer, thanks

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