Answer:
A whole number first term to render as fifth term a value larger than 10000, should be at least 121
Step-by-step explanation:
The formula is given as recursive since it involves the previous number of the sequence, and defined as:
we also know that the first term is 4
Then in this case, the first five terms are:
So if we want to find the first term in the case that the fifth one is greater than 10,000 using this recursive formula, now we have to start backwards, and say that the fifth term is "> 10000" and what the fourth one is.
Notice that if you have this definition for the nth term, we can obtain from it, what the previous term is to find the general rule:
So the rule is to subtract 6 from he term, and divide the subtraction by 3. Then working backwards:
therefore, the starting first term should be at least about 121 to give a fifth term larger than 10,000
Answer:
This idea of reflection correlating with a mirror image is similar in math.
This complete guide to reflecting over the x axis and reflecting over the y axis will provide a step-by-step tutorial on how to perform these translations.
First, let’s start with a reflection geometry definition
Math Definition: Reflection Over the X Axis
A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.
Math Definition: Reflection Over the Y Axis
A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image. In this case, theY axis would be called the axis of reflection.
What is the rule for a reflection across the X axis?
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Explanation is in the file
tinyurl.com/wpazsebu
