6.4k views
2 votes
2). 2, x, 14 are in Arithmetic progression, then the value of x is :

A. 28
B. 16
C. 7
D. 8​

User Croc
by
5.3k points

2 Answers

3 votes
An arithmetic progression is a constant rate of change through addition or subtraction. The formula for an arithmetic sequence/progression is an = a1 + (an-1)d. an is the term that we are looking for, a1 is the first term, and d is the common difference which is the distance between each of the numbers.

If we plug in our numbers, we get 2 = 2 + (2-1)6. I found the common difference by subtracting 14 and 2 and then dividing by 2. 12/6 = 6. We need to first multiply 1 and 6 to get 6. 6 + 2 is 8. Therefore, the value of x is 8.
User Sterling Hamilton
by
5.2k points
0 votes
the answer is C. 7 hope it help ;)
User Bin Wang
by
5.2k points