Question

for the sequence (a_n = 2(a_{n-1} - 2)) and (a_1 = 1),
its first term is
its second term is
its third term is
its fourth term is
its fifth term is

Explanation:

Step 1: Identify the first term

$$a_1 = 1$$

Step 2: Calculate the second term

$$a_2 = 2(a_1 - 2) = 2(1 - 2) = -2$$

Step 3: Calculate the third term

$$a_3 = 2(a_2 - 2) = 2(-2 - 2) = -8$$

Step 4: Calculate the fourth term

$$a_4 = 2(a_3 - 2) = 2(-8 - 2) = -20$$

Step 5: Calculate the fifth term

$$a_5 = 2(a_4 - 2) = 2(-20 - 2) = -44$$

Answer:

its first term is 1
its second term is -2
its third term is -8
its fourth term is -20
its fifth term is -44