(a) (b) Find the limit of the following sequences or show why they diverge. In(5n6) 1 7n-1 +n8 8n³ + 2n +9 3n - 4n³

7. 1)Detine the sequence: an = n²-2n+1 (n=1,2,3, ...) recursively. 2)Define the sequence: an = (n+1)! (n= 1,2,3, ..) recursively. 3) Find the non-recursive formula for f (n): f (0) = 6, f (n) = f (n – 1) + 15 for n> 1 4) Find the non-recursive formula for f (n) :f (0) = 3, f (n) = -2f (n – 1)/7 for n>1

Consider the sequence {b}_1 defined recursively by b₁ = 4 and, for any integer n ≥ 2, Find b2, b3, b4, and 65. b2 = b3 = b4 = b5 = bn = -nbn-1.

can you break down this sequence a bit more - i'm not understanding how the numerator went to 1 all of a sudden and the denominator as well