Question

I’m unsure how to go about solving this could you please help me solve this thank you.

Answer 1

`\lbrace2,-5,2,-5,...\rbrace`

Step-by-step explanation

Given

• The sequence begins with 2.

,

• Each term is calculated by multiplying the previous term by –1, and then subtracting 3.

Thus, to know the sequence described, we have to start with 2, as it is the first term of the sequence:

0. Multiplying the previous term by –1

`2\cdot-1=-2`

2. Subtracting 3.

`-2-3=-5`

Then, the second term of the sequence is –5. To calculate the third term we have to do the same as before:

0. Multiplying the previous term by –1

`-5\cdot-1=5`

2. Subtracting 3.

`5-3=2`

Therefore, the third term is 2, the same as the first term, which means that the sequence will be:

`\lbrace2,–5,2,–5,...\rbrace`