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2 years ago

S=n(a1+an)/2 gives the partial sum of an arithmetic sequence. What is the formula solved for an?

Mathematics

2 answers:

Veseljchak [2.6K]2 years ago

6 0

S = n(a1 + an)/2
2S = n(a1 + an)
2S = na1 + nan
nan = 2S - na1
an = (2S - n a1)/n

Oksana_A [137]2 years ago

5 0

Just took the quiz.

The answer is an=2S-a1n/n

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One urn contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A second urn contains two red balls (R

marusya05 [52]

Answer:

(a) See attachment for tree diagram

(b) 24 possible outcomes

Step-by-step explanation:

Given

$Urn\ 1 = \{B_1, R_1, R_2, R_3\}$

$Urn\ 2 = \{R_4, R_5, B_2, B_3\}$

Solving (a): A possibility tree

If urn 1 is selected, the following selection exists:

$B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2]$

If urn 2 is selected, the following selection exists:

$B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4]$

<em>See attachment for possibility tree</em>

Solving (b): The total number of outcome

There are 4 balls in urn 1

$n = \{B_1,R_1,R_2,R_3\}$

Each of the balls has 3 subsets. i.e.

$B_1 \to [R_1, R_2, R_3]; R_1 \to [B_1, R_2, R_3]; R_2 \to [B_1, R_1, R_3]; R_3 \to [B_1, R_1, R_2]$

So, the selection is:

$Urn\ 1 = 4 * 3$

$Urn\ 1 = 12$

There are 4 balls in urn 2

$n = \{B_2,B_3,R_4,R_5\}$

Each of the balls has 3 subsets. i.e.

$B_2 \to [B_3, R_4, R_5]; B_3 \to [B_2, R_4, R_5]; R_4 \to [B_2, B_3, R_5]; R_5 \to [B_2, B_3, R_4]$

So, the selection is:

$Urn\ 2 = 4 * 3$

$Urn\ 2 = 12$

Total number of outcomes is:

$Total = Urn\ 1 + Urn\ 2$

$Total = 12 + 12$

$Total = 24$

5 0

2 years ago

How do you solve this kind of problem?

Y_Kistochka [10]

I hope this helps you

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2 years ago

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Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of

Akimi4 [234]

Refer to the diagram shown below.

Let d = the horizontal distance from Charlie to the plane.
By definition,
tan(32°) = 1694.8/d
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Answer: 2,712.2 ft

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2 years ago

in a certain class,10 of 24 students play sports. what is the ratio of students who play sports to those who do not?

nexus9112 [7]

Answer:

Step-by-step explanation:

Student who don't play sports = 24 - 10 = 14

the ratio of students who play sports to those who do not = 10 : 14 = 5:7

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2 years ago

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An electrician charges a flat service fee to accept a job and an additional hourly rate to complete the job. The amount an elect

Colt1911 [192]

The interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

<h3>How to Interpret the Slope of a Function?</h3>

The slope of any function is the unit rate or average rate of change of the given function for that situation.

Given the function, E(x) = 130 + 28x, where:

E(x) is the amount an electrician charges per job

130 is the flat rate service which is the starting value or y-intercept

28 is the unit rate or slope, which is the fee charged per hour by the electrician to complete a job.

Thus, the interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

Learn more about slope on:

brainly.com/question/24502219

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1 year ago