This is question 4 on June 2008 Further Pure 1 paper OCR (downloadable for OCR website) OCR > Qualifications > By type > AS/A Level GCE (current) > Mathematics > Mathematics > All documents
The question goes:
The Matrix A is given by A =
3, 1,
0, 1,
prove by induction that for n>1
A^n =
3^n, 0.5(3^n -1),
0, 1,
I just dont get how 3^k + 0.5(3^k -1) becomes 0.5(3^k+1 -1)
Thanks