Question

for the sequence (a_n = 2 + 6 cdot (n - 1)),
its first term is
its second term is
its third term is
its fourth term is
its fifth term is
its common difference (d =) .

Explanation:

Step1: Find first term

$$a_1 = 2 + 6 \cdot (1 - 1) = 2$$

Step2: Find second term

$$a_2 = 2 + 6 \cdot (2 - 1) = 8$$

Step3: Find third term

$$a_3 = 2 + 6 \cdot (3 - 1) = 14$$

Step4: Find fourth term

$$a_4 = 2 + 6 \cdot (4 - 1) = 20$$

Step5: Find fifth term

$$a_5 = 2 + 6 \cdot (5 - 1) = 26$$

Step6: Find common difference

$$d = a_2 - a_1 = 8 - 2 = 6$$

Answer:

its first term is 2
its second term is 8
its third term is 14
its fourth term is 20
its fifth term is 26
its common difference \(d =\) 6