Question

Which of the following is UNLIKE the others with respect to the rate of change (common difference)?
A. 2, 8, 12, 20, 26
B. f(x) = 6x − 2
C. an = −5 + 6(n − 1)

f(x) = 6x +1

Answer 1

12 + 6 = 20 ?

Answer 2

The rate of change for the arithmetic sequence A is +6 for each term. The rate of change for the linear function B is +6. The rate of change for the arithmetic sequence C is +6 for each term. However, the rate of change for the function f(x) is +6, which is unlike the others.

Therefore, the answer is $\boxed{\text{f(x) = 6x + 1}}$.

Answer 3

Apologies for the mistake in my previous response. You are correct, the fourth term of the arithmetic sequence A should be 12 + 6 = 18, not 20.

In that case, the correct answer is A. 2, 8, 12, 20, 26. The rate of change (common difference) in this sequence is not constant, unlike the other options.