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 3...

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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 3 interactions.If there are 3 children, there can be 9 interactions.If there are 4 children, there can be 18 interactions.
How many interactions will there be for 9 children?
135
84
93
108

Answered Same DayDec 20, 2021

Answer To: A playground is being designed where children can interact with their friends in certain...

David answered on Dec 20 2021
117 Votes
0 3 9 18
3 6 9
3 3
As we can see, the first difference between consecut
ive numbers in series (0,3,9,18,….) is 3,6,9
But second difference is 3 and it is constant. This means that the series is quadratic and of the form: an2+bn+c
To find a,b,c, plug in values from the...
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