Question

Insert 8 geometrics between 8 and 1/64

please the answer and solution is needed urgently​

Answer 1

If 8 is the first term, and 1/64 is the tenth term, we can write the following equation to figure out the common ratio (r):

8r^9 = 1/64

r^9 = 1/512

r^9 = (1/2)^9 (rewrite 1/512. Since 512 = 2^9, 1/512 becomes (1/2)^9)

Solving this, r = 1/2 or 0.5 so the geometric sequence becomes:

8, 4, 2, 1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64 ...