Thursday, April 3, 2014

Find a recursive rule for the sequence 1, 4, 9, 22,...

Notice the pattern:
2*4+1=9
2*9+4=22
so a reasonable possibility is:

x%5Bn%5D=2x%5Bn-1%5D%2Bx%5Bn-2%5D, n%3E=2
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