Find the next three terms in the following geometric sequence.
32, 48, 72, 108,…
To find the next three terms in the geometric sequence, we need to find the common ratio first. The common ratio is found by dividing any term in the sequence by the previous term.
Thus, for the given sequence,
48 / 32 = 3/2 = 1.5
72 / 48 = 3/2 = 1.5
108 / 72 = 3/2 = 1.5
So, the common ratio (r) is 1.5.
To find the next term, we multiply the previous term by the common ratio.
Next term = 108 * 1.5 = 162
To find the second next term,
Second next term = 162 * 1.5 = 243
To find the third next term,
Third next term = 243 * 1.5 = 364.5
So, the next three terms in the sequence are 162, 243, and 364.5.
To find the next three terms in the geometric sequence 32, 48, 72, 108, we need to determine the common ratio first. The common ratio can be found by dividing any term in the sequence by its preceding term.
48 / 32 = 1.5
72 / 48 = 1.5
108 / 72 = 1.5
The common ratio is 1.5.
To find the next term in the sequence, we multiply the previous term by the common ratio:
108 x 1.5 = 162
To find the following terms, we continue to multiply each term by 1.5:
162 x 1.5 = 243
243 x 1.5 = 364.5
364.5 x 1.5 = 546.75
Therefore, the next three terms in the sequence are 162, 243, and 364.5
To find the next three terms in the geometric sequence:
Step 1: Determine the common ratio (r)
The common ratio can be found by dividing any term by its previous term. Let's divide 48 by 32:
48 / 32 = 1.5
So, the common ratio (r) is 1.5
Step 2: Use the common ratio to find the next terms
To find the next term, you can multiply the previous term by the common ratio.
Term 1: 108 * 1.5 = 162
Term 2: 162 * 1.5 = 243
Term 3: 243 * 1.5 = 364.5
Therefore, the next three terms in the geometric sequence are:
162, 243, 364.5