Find the common ratio of the following geometric sequence:
−10, 40, −160, 640, …
To find the common ratio of a geometric sequence, we divide any term by the previous term.
The common ratio is calculated by dividing each term by the previous term:
40 ÷ (-10) = -4
(-160) ÷ 40 = -4
640 ÷ (-160) = -4
Therefore, the common ratio of the given geometric sequence is -4.
To find the common ratio of a geometric sequence, you divide any term in the sequence by the previous term.
Let's calculate the common ratio by dividing the second term by the first term:
40 / (-10) = -4
Now let's calculate the common ratio by dividing the third term by the second term:
(-160) / 40 = -4
The common ratio between the terms of the 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.
Let's consider the following terms in the given sequence:
Term 1 = -10
Term 2 = 40
Term 3 = -160
Term 4 = 640
We can find the common ratio by dividing each term by the previous term:
Common Ratio = Term 2 / Term 1 = 40 / (-10) = -4
Common Ratio = Term 3 / Term 2 = (-160) / 40 = -4
Common Ratio = Term 4 / Term 3 = 640 / (-160) = -4
Therefore, the common ratio of the given geometric sequence is -4.