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Find All Fixed Points for the Function by Setting the Function

question 138

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Find all fixed points for the function by setting the function equal to x and solving the resulting equation for x.
-Use Gauss's function, f(n) =12n2+12nf ( n ) = \frac { 1 } { 2 } n ^ { 2 } + \frac { 1 } { 2 } n , to find a natural number nn such that the sum of the first nn natural numbers is 10 .


Definitions:

Nucleotide Sequence

The precise order of nucleotides within a DNA or RNA molecule, which constitutes the genetic information of an organism.

Purines

Nitrogen-containing organic compounds that form part of the structure of nucleic acids, including adenine and guanine.

Guanine

One of the four main nucleobases found in the nucleic acids DNA and RNA, which pairs with cytosine.

Adenine

A nucleobase (a building block for DNA and RNA) that pairs with thymine in DNA and with uracil in RNA.

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