Question
3x+1,2x,3x-7 are the first three terms of an arithmetic sequence.calculate the value of x
Answers
GPT 3.5
Given that 3x+1, 2x, and 3x-7 are the first three terms of an arithmetic sequence, we can set up the following equation:
2x - (3x+1) = (3x-7) - 2x
Simplifying, we get:
2x - 3x - 1 = 3x - 7 - 2x
-x - 1 = x - 7
Adding x to both sides, we get:
-1 = 2x - 7
Adding 7 to both sides, we get:
6 = 2x
Dividing by 2, we get:
x = 3
Therefore, the value of x is 3.
2x - (3x+1) = (3x-7) - 2x
Simplifying, we get:
2x - 3x - 1 = 3x - 7 - 2x
-x - 1 = x - 7
Adding x to both sides, we get:
-1 = 2x - 7
Adding 7 to both sides, we get:
6 = 2x
Dividing by 2, we get:
x = 3
Therefore, the value of x is 3.