In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. if the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?
a. 18
b. 24
c. 26
d. 32
e. 44

 The correct option is

(C) 26.

Step-by-step explanation: Given that in a certain quiz that consists of  10 questions, each question after the first is worth 4 points more than the preceding question.

All  the 10 questions on the quiz are worth a total of 360 points.

We are to find the worth of the third question in points.

Since each question after the first is worth 4 points more than the preceding question, so this will make an arithmetic sequence with

first term a, common difference, d = 4  and number of terms, n = 10.

We know that, in an A.P. with first term a and common difference d,

According to the given information,

Therefore, the third term of the sequence is

Thus, the third question worth 26 points.

Option (C) is CORRECT.

its the fourth option