What is the first step in evaluating the expression (9 − 6 ÷ 2 × 5) 2+ 7? A) 9 − 6
B) 6 ÷ 2
C) 2 × 5
D) 5 2

B) 6 ÷ 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

We must follow BPEMDAS rules.

We first look at the parenthesis, and evaluate it left to right. In the parenthesis, the first order of higher operation would be division, hence B is our answer.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for