$\dfrac{\sqrt{5}-1}{\sqrt{5}+1}=\dfrac{(\sqrt{5}-1)(\sqrt{5}-1)}{(\sqrt{5}+1)(\sqrt{5}-1)}\\\\=\dfrac{5-2\sqrt{5}+1}{5-1}=\dfrac{6-2\sqrt{5}}{4}\\\\=\dfrac{3}{2}-\dfrac{1}{2}\sqrt{5}$

Comparing this to the form a+b√5, we see that ...

a = 3/2

b = -1/2

8 0

3 years ago

What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?

erastovalidia [21]

Answer:

Step-by-step explanation:

16 x 3/2 = 24

24 x 3/2 = 36

36 x 3/2 = 54

8 0

2 years ago

Factor the expression.

worty [1.4K]

The is will be -11b3 - 16b2 + 4b + 3

4 0

2 years ago