1. Find explicit formulas for sequences of the form a, az, a3, ... with the initial...

 

Transcribed Image Text:

1. Find explicit formulas for sequences of the form a₁, az, a3, ... with the initial terms given below. a) -1, 1,-1, 1,-1, 1 b) 0, 1, -2, 3, 4, 5 1 2 3 4 5 6 c) '9' 16'25' 36' 49 d) 1- - f) 0,- 11 1 1 11 44 - - 2 2 33 149 16 25 36 e) 3'9'27' 81'243' 729 12 2'3' - - 34 56 45' 6'7 - 11 1 1 5'5 66 7 I g) 3, 6, 12, 24, 48, 96 2. Verify that an = 6 is a solution to the recurrence relation an = 4an-1-3an-2- 1. Find explicit formulas for sequences of the form a₁, az, a3, ... with the initial terms given below. a) -1, 1,-1, 1,-1, 1 b) 0, 1, -2, 3, 4, 5 1 2 3 4 5 6 c) '9' 16'25' 36' 49 d) 1- - f) 0,- 11 1 1 11 44 - - 2 2 33 149 16 25 36 e) 3'9'27' 81'243' 729 12 2'3' - - 34 56 45' 6'7 - 11 1 1 5'5 66 7 I g) 3, 6, 12, 24, 48, 96 2. Verify that an = 6 is a solution to the recurrence relation an = 4an-1-3an-2-