Step-by-step explanation:
The above sequence is a geometric sequence
For an nth term in a geometric sequence
where
n is the number of terms
a is the first term
r is the common ratio
From the question
a = 5
r = 10/5 = 2
Therefore the explicit formula for this sequence is
Hope this helps you
Answer:
from what I know it should be always negative
Step-by-step explanation:
Answer:
The domain is all real numbers and the range is all real numbers as-well.
As x approaches infinity, so does y.
As x approaches -infinity, so does y.
F(x)=x⁴-1
f'(x)=4x³
Newton’s Method: x[n+1]=x[n]-f(x[n])/f'(x[n]); x[n+1]=x[n]-(x[n]⁴-1)/4x[n]³
x₁=3.00390625
x₂=2.26215...
x₃=1.7182...
X'=X-(X⁴-1)/4X³=X-X/4+1/4X³ is a symbolic way of writing the recursive formula, where X' represents the next iteration.
When X'≈X, -X/4+1/4X³≈0; so X/4≈1/4X³; X≈1/X³, so X⁴≈1 and X⁴-1≈0. But this is f(x)≈0. Hence Newton’s Method converges to a solution.
The rate of change is x[n+1]-x[n]=-(x[n]⁴-1)/4x[n]³=x[n]/4-1/4x[n]³ or symbolically -X/4+1/4X³.
Note that the method converges to one solution. A different x₀ will possibly converge to the solution x=-1.
Answer: Hello! After being distributed, your answer should be 10x-20y+40z, hope this helps!
Step-by-step explanation: First multiply 5 and 2x and get 10x, then multiply 5 and 4y and get 20y, and lastly, multiply 5 an 8z and get 40z!
