99.3k views
2 votes
The start of an arithmetic sequence is shown below. What is the nth term rule for this sequence? 8 ,10 ,12 ,14​

User KostasA
by
8.6k points

1 Answer

2 votes

Final answer:

The nth term rule for the arithmetic sequence starting with 8, 10, 12, 14 is given by the formula a_n = 2n + 6.

Step-by-step explanation:

The arithmetic sequence shown starts with 8 and increases by 2 each time. To find the nth term rule for an arithmetic sequence, we use the formula a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference between the terms.

In this sequence, a_1 = 8 and d = 2. Plugging these values into the formula gives us:

a_n = 8 + (n - 1)·2

Expanding the formula we get:

a_n = 8 + 2n - 2

a_n = 2n + 6

Therefore, the nth term rule for this sequence is a_n = 2n + 6.

User Adam Kalnas
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories