The next three terms are: 1/6 , 0 and -1/6
Step-by-step explanation:
Given sequence is:
First of all, we have to find the common difference
The common difference is -1/6
We can simply add -1/6 to the previous term to find the next terms so,
Adding -1/6 to 1/3
Hence,
The next three terms are: 1/6 , 0 and -1/6
Keywords: Arithmetic sequence, common difference
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For this case we must find the solution set of the given inequalities:
Inequality 1:
Applying distributive property on the left side of inequality:
Subtracting 3 from both sides of the inequality:
Dividing by 6 on both sides of the inequality:
Thus, the solution is given by all the values of "x" greater than 3.
Inequality 2:
Subtracting 3x from both sides of the inequality:
Subtracting 3 from both sides of the inequality:
Thus, the solution is given by all values of x less than 4.
The solution set is given by the union of the two solutions, that is, all real numbers.
Answer:
All real numbers