Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. )
A_n= 8 + 6n

Question

Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) A_n= 8 + 6n

Quizplus · Accepted Answer

To determine if the sequence is arithmetic, we need to check if there is a common difference between consecutive terms.

Let's calculate the first few terms of the sequence:

- n = 1: S1U1B0 = 8 + 6(1) = 14
- n = 2: S1U1B0 = 8 + 6(2) = 20
- n = 3: S1U1B0 = 8 + 6(3) = 26

We can see that each term is increasing by 6, so the sequence is arithmetic.

To find the common difference, we need to subtract any two consecutive terms. Let's subtract the third term from the second:

- S1U1B0 (n=3) - S1U1B0 (n=2) = 26 - 20 = 6

Therefore, the common difference is 6, so the best choice is C.

Determine Whether the Sequence Is Arithmetic