Answer:
a) Geometric sequence
b) The graph grows exponentially
c)
Step-by-step explanation:
a) The given sequence is 2,10,50,250,...
The first term of this sequence is
There is a common ratio of
Therefore the sequence is geometric
b) The graph will behave like an exponential growth function.
c) The explicit equation of this sequence is given as:
We plug in the first term and the common ratio to get:
Answer:
3(x+3)(3x+x 2 +5)
Step-by-step explanation:
hope it helps
The Yule-Simon distribution is a discrete probability distribution. It is named after Udny Yule and Herbert A. Simon.
The Yule–Simon distribution was originally created by Yule as a limiting distribution model for a particular stochastic process, called the "Yule process" or the "preferential attachment process," in his study of the distribution of biological taxa and subtaxa.
The random variable X is said to have the Yule-Simon distribution if
P (X=k) = <u> 4 </u> where k = 1,2,...<u>
</u> k (k+1)(k+2)
Answer:
y = x² - 4x + 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, 1) and a = 1, thus
y = (x - 2)² + 1 ← expand parenthesis using FOIL
= x² - 4x + 4 + 1
= x² - 4x + 5
Answer:
Step-by-step explanation:
LCM of 3 and 6 = 6
2/3 = (2×2) / (3×2) = 4/6
4/6 = (4×5) / (6×5) = 20/30
5/6 = (5×5) / (6×5) = 25/30
Hence, 21/30, 22/30, 23/30 and 24/30 are four rational numbers between 2/3 and 5/6.