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Dimas [21]
3 years ago
11

What is the recursive formula for this arithmetic sequence? -16,-7,2,11...

Mathematics
2 answers:
bogdanovich [222]3 years ago
7 0
F(n)=-16
f(n)=f(n-1)+9
Fiesta28 [93]3 years ago
4 0

Answer:

The recursive formula for the arithmetic sequence is given by:

a_n = a_{n-1} +d   for n\geq 2

where, d is the common difference.

Given the sequence:

-16,-7,2,11...

This is a arithmetic sequence:

a_1 = -16 and d = 9

Since,

-7-(-16) = -7+6 = 9,

2-(-7) = 2+7 = 9,

11-2 = 9 and so on...

⇒ common difference(d) = 9

Substitute in [1] we have;

a_n = a_{n-1}+9 for n\geq 2

Therefore, the recursive formula for this arithmetic sequence is,

a_1 = -16

a_n = a_{n-1}+9   for n\geq 2

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Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc
aivan3 [116]

1) 4.55

2) Short hit

Step-by-step explanation:

1)

The table containing the score and the relative probability of each score is:

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05

Here we call

X = Miguel's score on the Water Hole

The expected value of a certain variable X is given by:

E(X)=\sum x_i p_i

where

x_i are all the possible values that the variable X can take

p_i is the probability that X=x_i

Therefore in this problem, the expected value of MIguel's score is given by:

E(X)=3\cdot 0.15 + 4\cdot 0.40 + 5\cdot 0.25 + 6\cdot 0.15 + 7\cdot 0.05=4.55

2)

In this problem, we call:

X = Miguel's score on the Water Hole

Here we have that:

- If the long hit is successfull, the expected value of X is

E(X)=4.2

- Instead, if the long hit fails, the expected value of X is

E(X)=5.4

Here we also know that the probability of a successfull long hit is

p(L)=0.4

Which means that the probabilty of an unsuccessfull long hit is

p(L^c)=1-p(L)=1-0.4=0.6

Therefore, the expected value of X if Miguel chooses the long hit approach is:

E(X)=p(L)\cdot 4.2 + p(L^C)\cdot 5.4 = 0.4\cdot 4.2 + 0.6\cdot 5.4 =4.92

In part 1) of the problem, we saw that the expected value for the short hit was instead

E(X)=4.55

Since the expected value for X is lower (=better) for the short hit approach, we can say that the short hit approach is better.

8 0
3 years ago
I NEED HELP ASAP!!!!!! 20 POINTS. Jake and Finn both worked hard over the summer. Together they earned a total of $400. Finn ear
Semenov [28]

Answer:

225 for finn jake gets 175

Step-by-step explanation:

400 divided by 2 = 200+25 witch gives Finn 225 dollars.  

J=175 f=225

4 0
2 years ago
Read 2 more answers
The sum of two numbers is 53. if twice the first number minus three times the second number is 26, find both numbers.
EastWind [94]
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53   (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a -  3b = 26
------------------- - (substract)
       5b = 80
         b = 80/5
         b = 16

Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37

The numbers are 16 and 37</span>
6 0
3 years ago
Write 25/176 as a decimal then tell if it's a terminating or a repeating decimal.​
EastWind [94]

Answer:

0.14204545454545

It's a repeating decimal

Step-by-step explanation:

25/176 is the same as 25 ÷ 176

so 25 ÷ 176 = 0.14204545454545

and it is a repeating decimal because the reminder is not 0

8 0
2 years ago
Some articles were bought at 6 for rupees 5 and sold at 5 for rupees 6. find the gain percent
olganol [36]

44% is the answer

6 Article price at buying =5 Rs

1 Article price at buying = 5/6...(i)

5 Articles sold at Rs. 6

1 Articles cost at sold = 6/5 ....(ii)

% Gain=((6/5 - 5/6)/ 5/6) * 100

= 11/25 * 100 = 44%

Profit is a general increase in an asset or the value of an asset. If the item's current price is higher than the original purchase price, you will make a profit. For accounting and tax purposes, profits can be categorized in several ways: B. Gross profit and net profit, or realized profit and unrealized (paper) profit.

The definition of victory is profit, benefit, or increase. An example of profit is a 5% increase in income over the past year. An example of a win is a 5 point lead over another team.

Learn about profit here:brainly.com/question/933169

#SPJ4

3 0
2 years ago
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