Find the next three terms in the following geometric sequence.
32, 48, 72, 108,…
The common ratio in this geometric sequence is found by dividing any term by the previous term.
48 / 32 = 1.5
72 / 48 = 1.5
108 / 72 = 1.5
Therefore, the common ratio in this sequence is 1.5.
To find the next term, we multiply the previous term by the common ratio:
108 * 1.5 = 162
To find the next term after that, we again multiply the previous term by the common ratio:
162 * 1.5 = 243
To find the last term, we once again multiply the previous term by the common ratio:
243 * 1.5 = 364.5
Therefore, the next three terms in the sequence are 162, 243, and 364.5.
To find the next terms in a geometric sequence, we need to determine the common ratio.
To find the common ratio, we divide any term by its previous term.
48 / 32 = 1.5
72 / 48 = 1.5
108 / 72 = 1.5
Since all the ratios are 1.5, the common ratio is 1.5.
Now, we can use the common ratio to find the next terms in the sequence.
To find the next term, we multiply the previous term by the common ratio.
108 * 1.5 = 162
162 * 1.5 = 243
243 * 1.5 = 364.5
Therefore, the next three terms in the sequence are 162, 243, and 364.5.
To find the next three terms in a geometric sequence, we need to identify the common ratio between the terms. The common ratio is found by dividing any term in the sequence by its previous term.
Let's calculate the common ratio:
Common ratio = 48 / 32 = 1.5
Common ratio = 72 / 48 = 1.5
Common ratio = 108 / 72 = 1.5
Since the common ratio is 1.5, we can use this to calculate the next three terms in the sequence.
To find the fourth term, we multiply the third term (72) by the common ratio (1.5):
Fourth term = 72 * 1.5 = 108
To find the fifth term, we multiply the fourth term (108) by the common ratio (1.5):
Fifth term = 108 * 1.5 = 162
To find the sixth term, we multiply the fifth term (162) by the common ratio (1.5):
Sixth term = 162 * 1.5 = 243
Therefore, the next three terms in the sequence are:
108, 162, 243