Step-by-step explanation:
Geometric Sequence formula for general term:
an = a1(r^n-1)
a1 = 4 × (-5)^1-1
a1 = 4
r = -5
Summation formula for geometric sequence :
Sn = a1 ( 1 - r^n / 1 - r )
...<em>take n from the top of the summation.</em>
= 4 ( 1 -(-5)^6 / 1 -(-5)
= -10416.
Answer:
The concept which best describes the change of the population is the derivative of
.
Step-by-step explanation:
Observe that the function
describes the amount of rabbits at the time t (in years) but no the rate of change of the population at a given instant. So you have to use the derivative of
to obtain that rate of change at any instant. For example, if we derivate the function
we obtain:

And if we want to find the rate of change at
years we evaluate
rabbits/year

<h2>
Explanation:</h2>
For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:

But our goal is to find y. Let's call w the height of the small triangle, then:

Applying the concept of ratios again:

<h2>Learn more:</h2>
Right triangle: brainly.com/question/10684799
#LearnWithBrainly
If we are supposed to give you like a life situation that matches the equation then I have one:
You have 42 watermelons and you need to divide them into equal groups. Let n equal the number of watermelons in each group. There are 6 groups in total. How many watermelons are in each group? (solve for n).
If this is not what you were looking for then my apologies.
Hi there!

f(x) = 2(1/5)ˣ
Recall the form of an exponential function:
f(x) = a(b)ˣ where:
a = initial value
b = rate of decay/growth
If b > 1, the function is undergoing exponential growth. If b < 1, then the function is undergoing exponential decay.
1/5 < 1, so the function is undergoing exponential decay, not growth.