# SOLUTION: A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, there can be 0 interactions. If there are 2 childr

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 Click here to see ALL problems on Sequences-and-series Question 599525: A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, there can be 0 interactions. If there are 2 children, there can be 6 interactions. If there are 3 children, there can be 15 interactions. If there are 4 children, there can be 27 interactions. How many interactions will there be for 7 children? Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, there can be 0 interactions. If there are 2 children, there can be 6 interactions. If there are 3 children, there can be 15 interactions. If there are 4 children, there can be 27 interactions. How many interactions will there be for 7 children? --- I ran a Quadratic Regression program on the data and got the following formula: y = (3/2)x^2 + (3/2)x -3 --- f(7) = 81 ================= Cheers, Stan H.