This is a classic order of operations question
I always remember order of operations as PEMDAS, or
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
That is the order to do items, from left to right. Multiplication and decision take place at the same time, as do addition and subtraction
So lets look at your problem: 6 • (4 + 2)² – 32
The first thing to do is what is in the parentheses, the 4 + 2
6 • (6)² – 32
The 2nd thing is the exponent
6 • 36 – 32
Next we do the multiplication
216 - 32
And finally the subtraction, leaving us with
184
an aritmetic sequence increases by the same amount each time (if it decreases, then it increases by a negative number)
the common difference is the number that must be added to a term to get the next term
let's see if it increases by the same amount
-5 to -11 is increase of -6
-11 to -17 is increase of -6
-17 to -23 is increase of -6
-23 to -29 is increase of -6
so it appears to be aritmetic
common difference is -6
-29-6=-35
-35-6=-41
-41-6=-47
the next 3 terms are -35, -41, -47
If 20 pencils are sharpened, and there was 36 to begin with, the answer would be 4:5
