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Find All Fixed Points for the Function by Setting the Function

question 130

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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 378 .

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