Find the common ratio for the following sequence. 64, 16, 4, 1, ... -4 -1/4 1/4 4
The common ration is the quotient between two successful numbers;
\(\frac{16}{64}\)
=\(\frac{1}{4}\)
Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
THe sequence 64,16,4,1 as you can see it´s actually going down or decreasing, so the ratio should be a fraction, in order to find that you just have to pair two terms that are next to eachother in the sequence to find the fraction, let´s try it with the first two: 64 and 16:
\(\frac{16}{64} =\frac{8}{32}=\frac{4}{16}= \frac{2}{8}=\frac{1}{4}\)
So the ratio is 1/4. You can confirm the ratio by using other numbers in the sequence, like the last two:
\(\frac{1}{4}\)
This is the ratio directly.