Find the next two numbers in the geometric sequence:
28,14,7...
The only pattern I see is 7*2=14 and 14*2=28
so each term is multiplied 2 times. But when it gets to the 7 don't you have to divide the term by 2 because you can't multiply it? so the answer would be 3.5 and 1.75. right?
What pattern do you see?
You're right! :-)
Okay, that's what I thought. But I have to enter my answers onto an online service and it says my answers are wrong.
Thank you Ms. Sue again. I just needed to change the answer to a fraction.
Ahh -- thank you for clarifying this. And you've very welcome, Chelsea.
To find the next two numbers in the geometric sequence, we need to identify the common ratio (r) between consecutive terms.
To do this, we divide any term (except the first) by its preceding term. Let's calculate the common ratio:
Common ratio (r) = 14 / 28 = 0.5
Now that we have the common ratio, we can continue the sequence by multiplying each term by the common ratio to get the next terms.
The next term is obtained by multiplying the last term (7) by the common ratio (0.5):
Next term = 7 * 0.5 = 3.5
Similarly, we can find the term after that:
Next next term = 3.5 * 0.5 = 1.75
Therefore, the next two numbers in the geometric sequence are 3.5 and 1.75.