Find the common ratio of the following geometric sequence:
−10, 40, −160, 640
The common ratio of a geometric sequence is found by dividing any term in the sequence by the previous term.
So, for this sequence,
40/(-10) = -4
(-160)/40 = -4
640/(-160) = -4
Thus, the common ratio of this geometric sequence is -4.
To find the common ratio of a geometric sequence, we need to divide any term in the sequence by the term that comes before it.
Let's take the first two terms:
40 ÷ (-10) = -4
Now, let's take the next pair of terms:
(-160) ÷ 40 = -4
Finally, we'll take the last pair of terms:
640 ÷ (-160) = -4
Since each division gives us the same result of -4, we can conclude that the common ratio of the geometric sequence is -4.
To find the common ratio of a geometric sequence, we need to divide any term in the sequence by the previous term.
In this case, let's divide the second term (40) by the first term (-10):
40 / (-10) = -4
Now, let's divide the third term (-160) by the second term (40):
-160 / 40 = -4
Finally, let's divide the fourth term (640) by the third term (-160):
640 / (-160) = -4
Since we obtained the same value (-4) each time, we can conclude that the common ratio of this geometric sequence is -4.