60 PTSA grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week, 26 boxes of the cereal were sold. In the 2nd week, 58 boxes of the cereal were sold and in the 3rd week 90 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence. Show all work!
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n.

B) Use this rule to calculate how many boxes of cereal will be sold during the 9th week.

aₙ = 31n -  5

Step-by-step explanation:

The terms of your sequence are.

26, 57, 88, …

This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.

The explicit formula for the nth term of an arithmetic sequence is

aₙ = a₁ + d(n - 1 )

a₁ is the first term, and d is the difference in value between consecutive terms. Thus,  

aₙ = 26 + 31(n - 1) = 26 + 31n - 31

aₙ = 31n - 5

The explicit rule for the arithmetic sequence is aₙ = 31n - 5.

step-by-step explanation:

if you want to solve percent error follow these steps.

1. subtract the accepted value from the experimental value.

2. take the absolute value of step 1.

3. divide that answer by the accepted value.

4. multiply that answer by 100 and add the % symbol to express the answer as a percentage.

if you want to solve percent of change just do this.

1. work out the difference (increase) between the two numbers you are comparing.

2. divide the increase by the original number and multiply the answer by 100. if your answer is a negative number then this is a percentage decrease.

hope this : )

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a