Write an algerbraic expression to describe the pattern rule for the date in this table of valures.

Term# Value
1 6
2 11
3 18
4 27

3 answers

(n+1)^2 + 2

-add one to the number
-square it
-add 2 to that result

e.g.
n = 4
add one ---> 5
square it ....> 25
add 2 ----> 27
How did you get that answer?
I look for some kind of pattern
I noticed that the differences between the second set of numbers were consecutive odd numbers.
Past experience told me that involved some type of squaring
I then noticed that each number in the second set was 2 more than a perfect squares, which are 1,4,9,16, 25 etc

That is about the best way I can explain it.
You just have to try different patterns