For the following sequences determine the term indicated:

Question

a_1=-2, a_n=2(a_n-1)^2,a_4

a_n=ln(e^n+2), a_5

b_0=1, b_1=2, b_n+1=2b_n-b_0

Answer 1

what's the problem? Just start working out the values:

a1 = -2
a2 = 2(a1)^2 = 2(-2)^2 = 8
a3 = 2(a2)^2 = 2(8)^2 = 128
...

a1 = ln(e^2) = 2
a2 = ln(e^4) = 4
...

b0 = 1
b1 = 2
b2 = 2(2)-1 = 3
b3 = 2(3)-1 = 5
...