Answers
Given:
The recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]
[tex]a_1=-3[/tex]
To find:
The explicit formula of the given geometric sequence.
Solution:
We know that, first term of geometric sequence is [tex]a_1=-3[/tex].
Recursive formula of a geometric sequence is
[tex]a_n=a_{n-1}\times r[/tex] ...(i)
where, r is common ratio.
We have,
[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]r=\dfrac{1}{8}[/tex]
The explicit formula of a geometric sequence is
[tex]a_n=a_1r^{n-1}[/tex]
Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get
[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]
Therefore, the correct option is D.
Related Questions
Dan, Richard and Nick share £70 in a ratio 1:3:1. How much money does each person get?
Dan:
£
Richard:
£
Nick:
£
Answers
Answer:
dan 14 Richard 42 nick 14
Which of the following are geometric sequences?
Check all that apply.
Answers
Answer:
c , I think :))))))))))))
Answer: C
Step by Step Explanation:
Can not give, sorry
A physicist examines 23 sedimentary samples for mercury concentration. The mean mercury concentration for the sample data is 0.036 cc/cubic meter with a standard deviation of 0.012. Determine the 80% confidence interval for the population mean mercury concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answers
Answer:
The 80% confidence interval is [tex]0.0328 < \mu < 0.0392[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 23
The sample mean is [tex]\= x = 0.036 \ cc/m^3[/tex]
The standard deviation is [tex]\sigma = 0.012[/tex]
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.282[/tex]
Generally the margin of error is mathematically represented as
[tex]E = 1.282 * \frac{0.012 }{\sqrt{23} }[/tex]
=> [tex]E = 0.00321 [/tex]
Generally 80% confidence interval is mathematically represented as
[tex]0.036 -0.00321 < \mu < 0.036 + 0.00321[/tex]
=> [tex]0.0328 < \mu < 0.0392[/tex]
5(g + 17) = (Simplify your answer.)
Answers
Answer:
5g+85 is the answer
Step-by-step explanation:
i hoped it helped
lucy trey and rubin have a total of $100 dollars in their wallets. trey has $5 more than lucy reuben has 3 times what. trey has how much do they have in their wallets
Answers
Please please help fast! I don't have time!!! Please
Answers
Answer:
Concept: Statistical Analysis
2 and 4 would be correct and indicate a strong correlation between the subject and the resultFind the distance across the bridge
Answers
Answer:
32.5 ft
Step-by-step explanation:
Answer:160
Step-by-step explanation:
I think because it shows 160 feet all the way down as the 32 and 20 are only the height of the bridge
which of the following are trinomials?
PLS, I REALLY NEED THIS ANSWER.
Answers
Answer:
Option (A) and Option (B)
Step-by-step explanation:
Trinomial is a polynomial having three terms.
Option A
[tex]\frac{5}{7}y^3+5y^2+y[/tex]
Number of terms = 3
So it's a trinomial.
Option (B)
x⁴ + x² + 1
Number of terms = 3
It's a trinomial.
Option C
6x² + 0.5y²
Number of terms = 2
It's a binomial.
Option D
x² + 3
Number of terms = 2
It's a binomial.
Option E
x¹¹
Number of terms = 1
Monomial
Option F
8x
Monomial.
Therefore, Option (A) and Option (B) are the correct options.
What is 60 minutes 20% of
Answers
Answer:
60 minutes is 20% of 300%
Step-by-step explanation:
A recipe for 45 biscuits uses
5
2
cups of flour. How many biscuits are made from each cup of flour?
Answers
Answer:
18
Step-by-step explanation:
Please give brainliest!
Answer:
18
Step-by-step explanation:
Using partial quotients, which would be the best choice for the first number to subtract in the division problem 858 +26?
Answers
Answer:
780
Step-by-step explanation:
We want to use partial quotients in the division problem 858 ÷ 26.
In partial quotients method, what we do is to repeatedly subtract from the dividend easy multiples of the divisor.
In this case, the dividend is 858 and the divisor is 26.
Thus, the first easy multiple of the divisor we can use will be 30 because 30 × 26 = 780 yields the closest value to 858.
Therefore, the best choice for first number to subtract is 780
Answer: 780
Step-by-step explanation:
The best choice for the division problem will be 780.
Evaluate:5^-1 – 6^-1
with explanation please!!
Answers
Answer:
1/30
Step-by-step explanation:
5^-1 = 1/5
6^-1 = 1/6
1/5 - 1/6 = 1/30
Juanita earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720?
Answers
Answer:
She has to work for 60hours in order to earn $720.
Step-by-step explanation:
Amount of money earned in 1hour=36÷3
=12$
Total time required=720÷12
=60hours
4. Which of the following represents a function?
(8,3), (8,3), (-8, -3), (-8, -3)
0 (-5, 6), (-5, 6), (-5, -6), (-5, -6)
O (3,9), (-7, 1), (6, 12), (-3, -9)
O (5, 1), (5,2), (5, 3), (5, 4)
Answers
(3,9), (-7,1), (6,12), (-3, -9)
What's the x that will make the fraction greater than or equal to 75%
Please show the thought process to get to x=16
1/5 = 20%
x-4/x >= 75% (x => 16. 12/16 = 75%)
Thanks,
Merry Christmas
Answers
9514 1404 393
Answer:
x ≥ 16 or x < 0
Step-by-step explanation:
You want ...
(x -4)/x ≥ 3/4
4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)
4x -16 ≥ 3x
x ≥ 16 . . . . . . . . . . add 16-3x
__
For x < 0, multiplying by 4x gives ...
4(x -4) ≤ 3x
4x -16 ≤ 3x
x ≤ 16 . . . . . and x < 0
__
There are two sets of solutions:
x < 0 or x ≥ 16
every 5th visitor to an animal shelter gets a free animal calendar every 8th visitor gets a free animal toy witch visitor each day will be the first one to get both the calendar and the animal toy
Answers
Answer:
The 40th visitor will recieve both
Step-by-step explanation:
5×8= 40
8×5= 40
what is 7/9 of 1 1/14
Answers
Answer:
1.5555556
1 5/9
14/9
Step-by-step explanation:
True or False. A triangle can be made with side lengths 4, 4 and 8.
Answers
Answer:
False
Step-by-step explanation:
what the answer?please tell me
12 points
Answers
Step-by-step explanation:
[7 + (-2)] * (-3)
= 7(-3) + (-2)(-3)
= -21 + 6
= -15. (C)
Answer:
C. -15
Step-by-step explanation:
Hope this helped have an amazing day!
Given the linear function f(x) = 3x + b. If b is increased by 5, how would the line shift?
Answers
Answer:
the line would move up five units because b is the y intercept, and the y intercept determines the position of the line, not the look or slope of the line
Answer:
THE LINE WOULD MOVE UP 5 UNITS
Step-by-step explanation:
NEED HELP ASAP!!!!Instructions: Using the following image, solve for the trigonometry ratios of
Answers
Answer:
17
8/17
Step-by-step explanation:
x=[tex]\sqrt{8^{2} +15^{2} } =17[/tex]
sin∠D = [tex]\frac{8}{17}[/tex]
Can somebody help me pls
Answers
the answer can vary between x=−1 or x=2 or x=−3 or x=3
explanation:
x4−x3−11x2+9x+18=0
Step 1: Factor left side of equation.
(x+1)(x−2)(x+3)(x−3)=0
Step 2: Set factors equal to 0.
x+1=0 or x−2=0 or x+3=0 or x−3=0
x=−1 or x=2 or x=−3 or x=3
A meal that contains 4 grams of fat, 3 grams of protein, and 3 grams of carbohydrate will provide ______ calories.
Answers
hope this helps :)
Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate
Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.
Thus total calories from given diet is = 4×4+4×3+9×3
=16+12+27
=56
Hence, Total calories in 4 grams of fat, 3 grams of protein and 3 grams of carbohydrate is 56
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ2
The regular price of a hooded jacket is $25.75. During a sale, the jacket was marked as 20% off. What was the approximate price of the jacket during the sale?
A.
$5.15
B.
$20.60
C.
$21.62
D.
$23.75
Answers
Answer:
5.15 hope this help!!!
Step-by-step explanation:
give this brainlieast so other people can know its not 20.60
Please helpppp me. Will give Brainlyist
Answers
Sin = Opposite / Hypotenuse
Cos = Adjacent / Hypotenuse
Tan = Opposite / Adjacent
HELP PLS
analyze the diagram above and complete the instructions that follow.
Answers
Answer:
D
Step-by-step explanation:
answer is on the photo
5.401 \times 10^{-1} = {?}5.401×10 −1 =?
Answers
Answer:
2.005 x 10^2
Step-by-step explanation:
please help me and my sister! Were a bit stuck!
Answers
Ok...
what exactly do you need help with?
Answer:
help with what lol
Step-by-step explanation:
Arthemeatic sequence
Answers
Answer:
14
Step-by-step explanation:
its going down by 11
Select the correct answer.
Which graph represents this equation?
y- 4=-3(x+5)
Answers
Step-by-step explanation:
The given expression is :
y- 4=-3(x+5)
⇒ y-4 = -3x-15
⇒y+3x = -15 + 4
⇒ y+3x= -11
We need to draw the graph for this equation. The attached figure shows the graph for this equation.