Answer:
7.
8.
9.
10.
Step-by-step explanation:
7. Solve for x:
Separate variable and numbers into different sides of inequality:
Divide the inequality by 3:
8. Solve for x:
Eliminate the brackets:
Separate variable and numbers into different sides of inequality:
Divide the inequality by 10:
9. Solve for x:
Solve two inequalities and
separately:
and
So,
10. Solve for x:
Add 1:
Divide by 3:
Answer:
The 64th term of the arithmetic sequence is -1075.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The nth term of an arithmetic sequence is given by:
In which is the first term.
−4,−21,−38
First term -4, so
Common difference of
Thus
Find the 64th term of the arithmetic sequence
This is . So
The 64th term of the arithmetic sequence is -1075.