Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

is the sequence (a_n = 7 + 7n) arithmetic? your answer is (input yes or…

Question

is the sequence (a_n = 7 + 7n) arithmetic?
your answer is (input yes or no)
if your answer is yes,
its first term is
its common difference is
hint: write out a few terms of the sequence and see if there is a common difference.

Explanation:

Step 1: Find the first term

$$a_1 = 7 + 7(1) = 14$$

Step 2: Find the second term

$$a_2 = 7 + 7(2) = 21$$

Step 3: Find the third term

$$a_3 = 7 + 7(3) = 28$$

Step 4: Check for common difference

$$a_2 - a_1 = 21 - 14 = 7$$
$$a_3 - a_2 = 28 - 21 = 7$$

Answer:

yes
14
7