The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
1 answer:
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Hi student, let me help you out!
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<h3>Part 1.</h3>Perpendicular lines have slopes that are <u>opposite inverses </u>of each other.
The opposite inverse of 2 is .
Now let's stick in this number into the equation :
. Let's carry out several operations to determine the y intercept.
First, let's stick in -2 for x and y (Do you remember that the line passes through (-2,-2)? We're given that piece of information.)
.
You are probably thinking, "Why did you do that and just complicate things?" Wait for it! ^-^
Upon simplifying this, we obtain: . See, it's nice and smooth now.
One last operation remains. We need to subtract 1 from both sides: .
∴, the equation of the line is:
Hope this helped you out, ask in comments if any queries arise.
Best Regards!
Answer:
The value of s is "90". A further explanation is given below.
Step-by-step explanation:
The given expression is:
⇒ 10=s÷2+7
i.e,
⇒
On solving the above expression, we get
⇒
On applying cross-multiplication, we get
⇒
⇒