No , the y-values of a data set cannot have both a common difference and a common ratio at the same time.
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
Thus nth term of an AP series is Tn = a + (n - 1) d
d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
Given data ,
A common difference means that the difference between any two consecutive y-values in the data set is the same. For example, if the first y-value is 3 and the common difference is 2, then the second y-value would be 5 (3 + 2), the third y-value would be 7 (5 + 2), and so on. This creates a linear relationship between the y-values.
And , a common ratio means that the ratio between any two consecutive y-values in the data set is the same. For example, if the first y-value is 3 and the common ratio is 2, then the second y-value would be 6 (3 x 2), the third y-value would be 12 (6 x 2), and so on. This creates an exponential relationship between the y-values.
Hence , a linear relationship and an exponential relationship are different, it is not possible for the y-values of a data set to have both a common difference and a common ratio at the same time.
To learn more about arithmetic and geometric progression click :
#SPJ3
Please help
1) 2x
2) x^2
3) x(x+2)
4) x+2
Tony sail 2.6 width of the reservoir.
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A reservoir is 3 1/4 miles wide.
And, Tony sailed 4/5 the width of the reservoir.
Hence, The sail width of the reservoir is,
⇒ 4/5 of 3 1/4
⇒ 4/5 × 13/4
⇒ 13/5
⇒ 2.6
Learn more about the multiplication visit:
#SPJ2
The equation is y= -2x + 3.
The 3 is the y-intercept and how I got -2 was that I did rise/run. It went down 2 times and over once so -2/1, which will give you simply -2.
The first one, or y = -2x+3. Next time you find things like this, you can go to desmos.com, and click start graphing. You can try all the different equations, and see which one is right. Hope this helps!
Answer:
MAD or also called as median absolute deviation is equal to zero. This means that there is no deviation and all the values are the same.
When a given number series is sorted in ascending order, the median is the middle number and that is zero.
MAD is a way to describe variation in a data set.
When a teacher gets MAD of zero, this means all the values are zero.