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The \(n\)th term of an increasing sequence \(S\) is given by \(S_n=S_{n-1}+S_{n-2}\) for \(n \gt 2\) and the \(n\)th term of a sequence \(S'\) is given by \(S'_n=S'_{n-1}-S'_{n-2}\) for \(n \gt 2.\) If \(S_5=S'_5,\) what is the average (arithmetic mean) of \(S_2\) and \(S'_2?\)
1) The difference between the fourth term and the second term of sequence \(S\) is \(14\)
2) The sum of the fourth term and the second term of sequence \(S’\) is \(14\)
The OA is A
1) The difference between the fourth term and the second term of sequence \(S\) is \(14\)
2) The sum of the fourth term and the second term of sequence \(S’\) is \(14\)
The OA is A
