Answer & Step-by-step explanation:
These questions are wanting you to find the sequence and solve for the nth term in said sequence.
The easiest way to do this is to just see the difference between each number, and continue adding or subtracting to the nth term the question is asking for.
For example, the first one is decreasing by 3 every time, so the 7th term will be -4, (the 4th term), subtracted by 3, three more times.
5, 2, -1, -4, -7, -10, -13
The other way to do this is to find the rule, and subsitute in what term is required.
For letter c (the second c), the sequence is 30, 24, 18, 12
The rule is to subtract 6 every time, so -6 n
Since we start our 1st sequence from 30, our rule must start from 30 + 6, the opposite of our rule, which gives us 36.
Our rule is 36 - 6n
So since we are looking for the 11th term, we substutute in 11 into our equation.
36 - 6 n
36 - 6 (11)
36 - 66
-30
This way of thinking will work for the whole set of questions you have here