Question

determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.

4, 11, 18, ...

answer
attempt 1 out of 2

this is ▼ sequence
and the ▼ is
equal to □.

Explanation:

Step1: Check for arithmetic sequence

Calculate differences between terms:
$11 - 4 = 7$
$18 - 11 = 7$

Step2: Check for geometric sequence

Calculate ratios between terms:
$\frac{11}{4} = 2.75$
$\frac{18}{11} \approx 1.636$

Step3: Classify the sequence

The differences are constant, so it is arithmetic.

Answer:

This is an arithmetic sequence and the common difference is equal to 7.