The room-size ranges suggested above for a 4-member family (family with 2 children) and a family with three teenagers are differ
2 answers:
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The given sequence is arithmetic with a common difference of 
between each term.
Recursively, you can define the sequence as
and solve explicitly for the
th term by recursively substituting the right hand side:
The first term of the sequence is
, so the th term is given by the formula
So, the 22nd term in the sequence is
Recursively, you can define the sequence as
and solve explicitly for the
The first term of the sequence is
So, the 22nd term in the sequence is