It is a geometric sequence
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
first term is 1
common ratio is 5
an=1(5)^(n-1)
that is the equatin/formulf for the nth term
if you want a summation formula of the sequence to the nth term
Sn=
![\frac{a1(1-r^{n})}{1-r}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba1%281-r%5E%7Bn%7D%29%7D%7B1-r%7D%20)
in this case
Sn=
![\frac{1(1-5^{n})}{1-5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%281-5%5E%7Bn%7D%29%7D%7B1-5%7D%20)
or
Sn=
![\frac{1-5^{n}}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%5E%7Bn%7D%7D%7B-4%7D%20)
so in this case
up to 5th term
S5=
![\frac{1-5^{5}}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%5E%7B5%7D%7D%7B-4%7D%20)
S5=
![\frac{1-3125}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-3125%7D%7B-4%7D%20)
S5=
![\frac{-3124}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3124%7D%7B-4%7D%20)
S5=781
anyway
![a_{n}=(5)^{n-1}](https://tex.z-dn.net/?f=%20a_%7Bn%7D%3D%285%29%5E%7Bn-1%7D%20)
is the nth term
and
Sn=
![\frac{1-5^{n}}{-4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1-5%5E%7Bn%7D%7D%7B-4%7D%20)
is the summation up to the nth term
1. Expand the equation
−7 + 56i + 4i +32
2. Gather like terms
(−7 + 32) + (56i + 4i)
3. Simplify
25 + 60i
The correct answer would be D. 25 + 60i
Answer:
20 ton
Step-by-step explanation:
We created a system of two separate equations to answer these questions.
"y" will be the total cost to transport the sugar
"x" will be the amount of sugar transported
Therefore, we have to:
y = 3995 + 225.50 * x
y = 6500 + 100.25 * x
We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:
3995 + 225.50 * x = 6500 + 100.25 * x
solved we have:
225.50 * x - 100.25 * x = 6500 - 3995
125.25 * x = 2505
x = 2505 / 125.25
x = 20
which means that when the amount of sugar transported is 20 tons, the price is the same
Answer:
n = ± 6
Step-by-step explanation:
absolute value equations usually produce 2 solutions
to get the positive solution just solve normally: 2n - 4 = 8
2n = 12
n = 6
to get the negative solution you must take what is in the absolute value bars and multiply by negative one: -(2n) - 4 = 8
-2n - 4 = 8
-2n = 12
n = -6
Answer:
Please resend your question with whole screen of your laptop.
Step-by-step explanation:
I don't know which problem I have to do with these numbers.
I am waitin' for this question.