I’m so confused on this. my teacher didn’t do an example of this in class for us. how do i do this?
for the sequence, describe the pattern, write the next term, and write a rule for the nth term.
17) -4, 8, -12, 16,
20) 2/3, 4/4, 6/5, 8/6,
23) 3.1, 3.8, 4.5, 5.2,

Step-by-step explanation:

The sum of a number and the next the result is is alternating 4 an -4

(-4) +8 = 4

8+(-12) = -4

(-12) + 16 = 4

17)

20)Numerator is increased by 2 Numerator is increased by 1

9th is 18/11 (If 2/3 is considered the first)

9th is 16/10 if  1/1 is considered first)  

The sum The sum of each fraction is 3 more than the sum of the previous fraction

2+3 = 5

4+4 = 8 (5+3)

6+5=11 (8+3)

8+6=14 (11+3)

23)

The next number is 0.7 more than the previous number

5.2/4.5=0.7

4.5/3.8=0.7

3.8/3.1=0.7

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.

correct answers below: