It is 0.2
Just divide any number in the sequence by the next number in the sequence. To be on the safe side, you may want to check in more than one place - if you get the same result in each case, then it is, indeed, a geometric sequence.
A geometric sequence is defined by the next term being the common ration times the current term.
To find the common ratio in a geometric sequence divide any number by the previous number:
125 ÷ 625 = 1/5 = 0.2
25 ÷ 125 = 1/5 = 0.2
5 ÷ 25 = 1/5 = 0.2
1 ÷ 5 = 1/5 = 0.2
If this division does not give the same value each time, then the sequence is not a geometric sequence or you've made a mistake).
For the geometric sequence 625, 125, 25, 5, 1 the common ratio is 0.2
625/125
25
The ratio is sqrt(125/216) = sqrt(0.578704) = 0.7607 (to 4 dp) The question is more likely to have been about volumes being 125 and 216. In that case, the ratio of the solids' dimensions would have been the cuberoot of (125/216) which is 5/6.
The geometric mean is a positive number x such that x/5 = 25/x. Thus, x2 = 125, so x = 5*sqrt(5).
125:216
As volume is length x length x length, cube the ratio of the lengths, thus: Ratio of lengths = 2 : 5 ⇒ Ratio of volumes = 23 : 53 = 8 : 125
This is a geometric sequence. Each number is multiplied by the same constant, to get the next number. If you divide any number by the previous one, you can find out what this constant is.
You have the 3rd term and you want to go out four more so multiply by 5 this many times: 125*5^4 = 78125
The ratio of 125 cubic inches to 125 cubic inches is 1.
125:6
25
It is a geometric progression.
.5,.25,.125
64 125 216 343 512 729Bold numbers are the missing in the sequence
It is 125/115, which can be simplified if required.
A loan, usually a mortgage, with an initial loan amount equal to 125% of the initial property value. In other words, a 125% loan has a loan-to-value ratio (LTV ratio) of 125%.
Just convert the units to a common unit. Reminder: 1 meter = 100 centimeters. Then express as a ratio of the same unit. The units cancel in this case.
The ratio is sqrt(125/216) = sqrt(0.578704) = 0.7607 (to 4 dp) The question is more likely to have been about volumes being 125 and 216. In that case, the ratio of the solids' dimensions would have been the cuberoot of (125/216) which is 5/6.