Answer:
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: