Question
2,4,8,16 recursive form
Answer:
The first term is 2, and each term after that is twice the previous term, so the equations are:
a sub1 = 2
a sub n = 2a sub n-1, for n>1
He should make 20 dining chairs, and 10 rocking chairs. Making a profit of 2100$
10 rocking chairs x 2hrs = 20hrs
20 dining chairs x 1 = 20hrs
20hrs + 10hrs = 30hrs
90 x 10 = 900$
20 x 60 = 1200$
900 + 1200 = 2100$
There is a slight flaw. She is only correct if all three points are on the same line.
If S is on segment RT, then segment RT can be broken up into RS and ST. Through the segment addition postulate, we can then say
RS+ST = RT
So put another way, Michaela's claim is only true if angle RST is 180 degrees.
However, if angle RST is some other angle, then saying RS+ST = RT is not correct. So Michaela needs to clarify that point S is on segment RT. Or she could say that all three points are on the same straight line.
A diagram is provided below.
Side note: in the figure on the right, RS+ST adds up to something larger than RT. This is due to the triangle inequality theorem. That theorem states that adding any two sides of a triangle adds to something larger than the third remaining side.
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