Start at 125 create a pattern that subtract 6 from each number

If you want a sequence that subtracts 6 each time, then we'd have to have a nth term.

125, 119, 113 etc will be your pattern

Since we are subtracting 6 each time, the nth term will start with -6n

Then we see what that equation looks like: -6 as the first term, -12 as the second etc.

So we have to add a certain amount so the sequence starts at 125, which is to plus 131 to get to 125.

So now the pattern starts at 125 and decreases by 6 each term.

So U_n = -6n + 131

First set are parallel, second are perpendicular, third are perpendicular, fourth are neither.

*If you can't remember the rules, or want to check your answers, I would type them into a graphing calculator. It will easily tell you which category they're in. (desmos.com)*

Step-by-step explanation:

1. Same slope (6/5) = parallel

2. Reciprocal (flipped) slope, opposite signs

3. Reciprocal (flipped) slope, opposite signs

4. Neither, the slopes aren't the same or flipped

When you flip the slopes (3/4 becomes 4/3) and change a sign, the lines will always be perpendicular.

Hope it helps :)