Answer:
The second option is the correct answer
The sequence is : 0, -1, -6, -31, -156
Step-by-step explanation:
It is given that,
The recursive formula , an = 5a(n-1) - 1 and a1 = 0
<u>To find a2, a3, a4, a5
</u>
a2 = 5a1 -1 = 5x0 - 1 = -1
a3 = 5a2 - 1 = (5x -1 ) - 1 = - 5 - 1 = -6
a4 = 5a3 - 1 =(5x -6) - 1 = -30 - 1= -31
a5 = 5a4 - 1 = (5 x -31 ) - 1 = -155 -1 = -156
Therefore the resulting sequence is
0, -1, -6, -31 ,-156
The true statements are:
<span>The equation has a variable in the exponent position.
</span><span>The graph has a variable rate of change which causes it to have a curved shape.
These are the defining characteristics of an exponential function.</span>
Answer:
The answer is x = 27.
Step-by-step explanation:
<h2><u><em>PLEASE MARK AS BRAINLIEST!!!!!</em></u></h2>
Answer:
Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.
This means that the value of k will go from 0 to 4, then all the numbers in the sum are:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
So we have 5 terms in our series.
b) to see the sign in each term, we must solve the powers, remember that:
(-1)^n is -1 if n is odd, and is equal to 1 if n is even, so we have:
(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4
= 1 -1/2 + 1/4 - 1/8 + 1/16.
So the sign in each term of the series alternates.
Answer: b) The data is spread close to the mean
Step-by-step explanation: Theoretically, when the standard deviation of a statistical data is large or high, it simply means that the values in such statistical data set are farther away from the mean, On the other hand when the standard deviation is small or low, it simply means that the values of such statistical data are close to the mean of those data on average.
Therefore Judy's low standard deviation for her project simply indicates that her statistical data set is spread close to the mean.
