2023 ACSBR EM S1 EOY P2 Q3

Each term in the sequence is found by subtracting the same number from the previous term. The first five terms of the sequence are

\(41\), \(a\), \(b\), \(c\), \(25\),…

1. Find the values of \({a}\), \({b}\) and \({c}\).[2]
2. Write down an expression, in terms of \({n}\), for the \({n}\)th term of the sequence.[1]
3. Explain why \({-321}\) is not a term in this sequence.[1]