1 of 5 What is the nth term rule of the quadratic sequence below?
8, 16, 26, 38, 52, 68, 86,...
Tn=

Step-by-step explanation:

Given the sequence

8, 16, 26, 38, 52, 68, 86,...

The nth term of a quadratic sequence will take the form:

Step 1: Find the difference between each term

The differences are: 8,10,12,14,...

Step 2: Find the differences between the differences

We notice an addition of 2, so the second difference is 2.

Step 3:

Take the half of the second difference to obtain a.

2/2=1

Therefore: a=1

The sequence for now is:

Step 4: Find

We notice that forms a linear sequence 7,12,17

We can write this as 2+5n

Therefore, Our nth rule for the quadratic sequence is therefore:

1) c 2143.6 cm

2) c 113.0 m

3) a 33.5 ft

4)   d 2 cm

5) c 20 mm

6) 180 in

7) d 120 ft