Are theese constant Ratios...
1:2:4:8:16,
or are theese constant ratios:
1:2 2:4 4:8 8:16
Are they both wrong?
If they are, could you give me 2 examples and explain them please?
With 2, I should probably be able to come up with my own.:)
PLEEEEEEEEEEEEEEEEEEEEEEEAES HELP ME!!!!!!!!!!!!!!!! THIS IS DRIVING ME CRAAAAAAAAAAAAAAZZZZZZYY
1:2 is a 1/2 ratio
2:4 is a 1/2 ratio
4:8 is a 1/2 ratio
so the second one has a constant ratio
OK. I understand they are all half ratios. I do. But what is a constant ratio??? I mean I know how to write them -now-, I just don't understand them.
|:(
SEIRIOUSLY, CAN ANY BODY HELP ME WITH THIS???
PLEASE
Both sets of ratios are correct, but they represent different patterns. Let me explain each of them separately.
The first set of ratios, 1:2:4:8:16, represents a geometric sequence where each term is obtained by multiplying the preceding term by a constant ratio of 2. In this case, the common ratio is 2 because each term is twice the value of the previous term. For example:
- The first term is 1.
- The second term is 2 (1 x 2).
- The third term is 4 (2 x 2).
- The fourth term is 8 (4 x 2).
- The fifth term is 16 (8 x 2).
In this case, the constant ratio is maintained throughout the sequence, and therefore, these ratios form a geometric sequence.
The second set of ratios, 1:2, 2:4, 4:8, 8:16, represents individual ratios rather than a sequence. Each pair of terms represents a ratio of one term divided by another. In this case, each ratio is equal to 1 since the numerator and denominator are the same value. For example:
- The first ratio is 1:2, which means that 1 divided by 2 is equal to 0.5.
- The second ratio is 2:4, which means that 2 divided by 4 is equal to 0.5.
- The third ratio is 4:8, which means that 4 divided by 8 is equal to 0.5.
- The fourth ratio is 8:16, which means that 8 divided by 16 is equal to 0.5.
In this case, the ratios are all equal to 0.5, meaning they are constant, but they do not form a sequence since they are not derived by multiplying the preceding term by a common ratio.
So, to summarize, the first set of ratios forms a geometric sequence with a constant ratio of 2, while the second set of ratios represents individual ratios that are all equal to 0.5. Both sets can be correct, depending on the context and the pattern you are trying to describe.