It is only the 3rd day of my geometry class and I am already lost. I can tell this will be a good year!I just barely got a C in Algebra last year and now geometry is CRAZY!! I get so aggravated and I almost cry.I was always good in school...until High School. Anyway......I need help with this problem soon!!
Describe a pattern in the sequence of numbers. Predict the next number.
8, 15, 29, 57
I got that when you subtract 29 from 57 you get 28. 29-15=14 and 15-8=7
So that is x by 2 but how do I get that wrote down??
This is what I feel like doing right now.
This looks like an arithmetic progression whose difference between members seems to grow.
What does this have to do with geometry?
Anyway, if you are not sure how to describe the solution, listen to your mind and exactly what words occur when you are thinking about the solution. I have observed that it is not always possible, or at least not always good enough, to describe the solution of a maths problem using only mathematical signs. I am not familiar with the US education system, but I believe you should be permitted to use English words to present your solution.
For instance, determine the sum of the interior angles of an n-gon.
Setup a table starting with the simplest polygon, a triangle. Use inductive reasoning to arrive at the formula. Note: the diagonals are drawn from one vertex, only.
3 sides 0 diagonals 1 triangle 180 degrees (180)(1)
4 sides 1 diagonal 2 triangles 360 degrees (180)(2)
5 sides 2 diagonals 3 triangles 540 degrees (180)(3)
6 sides 3 diagonals 4 triangles 720 degrees (180)(4)
7 sides 4 diagonals 5 triangles 900 degrees (180)(5)
n sides (n-3) diagonals (n-2) triangles 180(n-2) degrees
Studying the pattern, you can easily see that the number of triangles formed is always 2 less than the number of sides.
Philosophy of Mathematics area. Start a thread and see what others think.
According to your considerations you have:
where n is the number of the element in the sequence.
So you have a geometrical sequence whose values are translated up by 8 units.