Ms. Clipner gave the class a total of 82 math problems for review. The correct answer is option J: 82.
Ms. Clipner gave her seventh-grade class 7 math problems on the first day, followed by 5 additional problems each subsequent day, for a total of 15 days.
To find the total number of problems given for review, you can use the arithmetic progression formula:
![\[ S_n = (n)/(2)[2a + (n-1)d] \]](https://img.qammunity.org/2022/formulas/mathematics/college/7oxdxcxhwu8mutafkecem2buge3td4jrz3.png)
Where:
-
is the sum of the arithmetic series,
- n is the number of terms,
-a is the first term, and
- d is the common difference between terms.
In this case:
- n = 15 (number of days),
- a = 7 (problems on the first day),
- d = 5 (additional problems each day).
![\[ S_(15) = (15)/(2)[2(7) + (15-1)(5)] \]](https://img.qammunity.org/2022/formulas/mathematics/college/g5nzym9r1akkoof2hukmqgml76y7ro41bp.png)
After solving this equation, you'll find that

Therefore, Ms. Clipner gave the class a total of 82 math problems for review. The correct answer is option J: 82.
The probable question may be:
Ms. Clipner had 15 days to prepare her seventh grade class for their next math exam. On the first day. she gave the class 7 math problems to complete. Each day following, Ms. Clipner gave the class 5 more math problems to solve in prepa-ration. How many problems did Ms. Clipner give the class for review
F. 26
G. 72
H. 77
J. 82
K. 156