Question

.The product of 3 geometric means between 5 and 125 will be *

3125

15625

125

625

please give answer fastly plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzZzzzzzzzzz​

Answer 1

Answer:

The product of 3 geometric means between 5 and 125 will be *

3125

15625

125

625

please give answer fastly ANSWER

The geometric mean is a geometric series which is in the form of arn where a is the first term and r is the common ratio.

T1= 5 and T5 = 3125

Now, T1/T5 = 5/ 3125

=>ar1//ar5 =1/ 625

=> 1/ r4 = 1/625

=> r4 = 625

=> r = 5

So if r=5, then a= 1

T2 = ar2

= 1(5) 2 = 25

T3 = ar3

= 1(5) 3 = 125

T4 = ar4

= 1(5)4 = 625

Therefore, three geometric means between 5 and 3125 are 25, 125 and 625