Question

2 geometric means between 2 and 8192

Answer 1

Answer:

a=2 and c=8192 and b=?

G.M= 2+8192/2=8194/2=4097

Answer 2

Answer:

Step-by-step explanation:

To get the 2 geometric means between 2 and 8129, write it down to clearly see how many sequences are there: 2, _____, ______,  8192. Then we'll use the formula: An = A1 r^n-1

  We need to get the value of r...                                                          

Solution: Substitute An= 8192,  n= 4,   A1= 2

8192= 2 (r^ 4-1)

8192/2 = (r^3)

∛4096 = r

r= 16

We have now r =16, so let's go back to our sequence:

2,  2(16),  32(16), 512(16)

2, 32, 512 ,  8192

Therefore, the 2 geometric means between 2 and 8192 are:  32 and 512.