Identify the correct form of the following geometric sequence.10 , 30 , 90 , 270 , …
The given sequence is 10, 30, 90, 270,
The given sequence is 10, 30, 90, 270, …
To determine the type of sequence, we need to check if it follows a specific pattern. In a geometric sequence, each term can be obtained by multiplying the previous term by a constant value. Let’s see if this holds true for the given sequence:
To go from 10 to 30, we can multiply by 3.
To go from 30 to 90, we can multiply by 3.
To go from 90 to 270, we can multiply by 3.
Since we are consistently multiplying by 3 to obtain each subsequent term, the given sequence is a geometric sequence. The common ratio is 3, which is found by dividing any term by its preceding term.
Hence, the correct form of the geometric sequence is 10, 30, 90, 270, …
More Answers:
Determining the Explicit Function | Analyzing Arithmetic Sequence Differences and Finding the FormulaOrganizing Sequences Based on Common Ratio | Least to Greatest
Finding the explicit formula for the sequence 2, -2, -6, -10, -14, . . .
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded