a.
To find the score of the student in the sixth grade.
The score in the sixth test is
Given information:
The student scores 75, 79, and 83 in the first three tests.
Calculation:
Observe that the improvement in scores represent an arithmetic sequence with first term
Find the nth term of the sequence.
Now, find the score in the sixth test.
Therefore, the score in the sixth test is
b.
To find the total score for all six tests.
The total score of the student for all the six tests is 510.
Given information:
The student scores 75, 79, and 83 in the first three tests.
Calculation:
Since the common difference is 4, all the six terms of the sequence can be written as:
Now, add all the terms.
Therefore, the total score of the student for all the six tests is 510.
Chapter 9 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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