Hey there :)
We can find the common difference here as it is an arithmetic sequence.
The common difference between each term is:
We can find the unknown term by:
{easier way in this example}
OR
by the formula for finding the nth term
a₆ =
{a₆ because it is the 6th term to be found, (6-1) the nth term minus 1}
a₆ =
However this way is not essential here as the previous term is given.
Answer:
4x + 12 = 8; 4x = -4; x = -1. Therefore the four consecutive odd integers are -1, 1, 3, 5.
Step-by-step explanation:
Let's convert these inequalities to Slope Intercept Form so that we can graph them easily.
<span>−10x − 5y ≥ 15
Add 10x to both sides.
-5y </span>≥ 10x + 15
Divide both sides by -5 and flip the inequality sign.
y <span>≤ -2x - 3
</span><span>x + y ≤ − 1
Subtract x from both sides.
</span><span>y ≤ -x − 1
When graphed, the solutions lay in Quadrants II, III, and IV. You can see this in the picture I've included.</span>
The answer to this question is the second graph.
Hope this helps