anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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rsadhvika
  • rsadhvika
observe the pattern :- \(a_{n} = a_{n-1} + 3(n-1)\)
rsadhvika
  • rsadhvika
find the interactions upto 9 childern using above recursive relation
anonymous
  • anonymous
what do i plug in for the variables?

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rsadhvika
  • rsadhvika
lets find number of interactions for 5 children :- \(a_{5} = a_{5-1} + 3(5-1) \) \(a_{5} = a_{4} + 3(4) \) \(a_{5} = 18 + 12 \) \(a_{5} = 30 \)
rsadhvika
  • rsadhvika
similarly, find a6, a7, a8 and a9
anonymous
  • anonymous
where did the 18 come from?
rsadhvika
  • rsadhvika
good q, look at the orignial quesiton
rsadhvika
  • rsadhvika
If there are 4 children, there can be 18 interactions.
anonymous
  • anonymous
mhmm

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