Question

ХIs Savvas RealizeXHughes STEM | Producing Life L. X+https://www.savasrealize.com/community/classes/5f2823ba602126597b4812a3/assignments/8e2a0ceb4fcb436c9383b50ac3a6084b/content/c46ae9bonal PracticeCarly's ScoringWeek Increase in Points7. Higher Order Thinking During the first week of theseason, Carly averaged 27 points per basketball game.Then she went on a scoring streak. The table shows theincrease in the number of points she scored per gamefrom her Week 1 averagea. If her streak continues into the fifth week, what wouldCarly's number of points per game be for Week 5?2.334.546b. Be Precise Describe how the number of points perweek changes over the five weeks.

Answer 1

EXPLANATION

Let's see the facts:

First week--------->

Carly average points = 27/game

Second week------->

Average points = (27 + 3)/game = 30

Third week------->

Average points = (27 + 3 + 4.5)/game = 34.5

Fourth week------->

Average points = (27 + 3 + 4.5 + 6 )/game = 40.5

For the week 5, we need to calculate the increasing rate:

Fifth week------->

Average points = (27 + 3 + 4.5 + 6 + next increment )/game = 40.5 + next increment

Computing the general progression formula of 3,4.5,6:

Compute the differences of all the adjacent terms:

$d=a_{n+1}-a_n$

4.5-3=1.5 , 6-4.5=1.5

The difference between all of the adjacent terms is the same and equal to:

d=1.5

The first element of the sequence is 3:

$a_1=3$$a_n=a_1+(n-1)d$

Therefore, the nth term is computed by

d=1.5

$a_n=1.5(n-1)+3$

Refine:

d= 1.5,

$a_n=\text{1}.5n\text{ + 1.5}$

The next term is: