1. Suppose an arithmetic sequence an has az = -3 and ag = 17. Write a formula for the nth term of the sequence. a. b. Determine the sum of the first 10 terms of the sequence. Is it possible to determine the infinite sum? (That is, the sum of terms 1 to o?) If it is с. possible, determine the sum; if it is not possible explain why.

Q: In an arithmetic sequence a1, a2,, an, if the first term is 7 and the common difference is 6, then…

A: here option C is true

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....​

A: SOLUTION-

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

Q: 1. Consider a sequence that begins with 1,4,8, Explain why each of the following could be the next…

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Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

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Q: In an arithmetic sequence, if az = -12 and ag =-31, then the common difference d is O 19 O 22 O 21 O…

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Q: 16.Consider the first 3 terms of the sequence a, (where k 2 2). A. Give the first 3 terms of the…

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Q: Given the geometric sequence: 35 az = 3 245 a1 = 5, a2 = 9. find a formula for the nth term: an =

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Q: a Identify the type of sequence presented in the table. b. Write an explicit Formula for the…

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Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

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Q: 1. What do you call a sequence of numbers whose consecutive terms have a constant difference? A.…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

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Q: In an arithmetic sequence a1, a2,* an, if the first term is 2 and the comnon differenCe is 4, then…

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Q: Let ("), n-3n+36 and (") be the first three terms of arithmetic sequence. Find the sum or first 25…

A: nC2, (n²-3n+36)/2 and (n+1)C2 be the first three terms of AP   we know that    definition of nCr =…

Q: Let a, denote the nh term of a geometric sequence. Let an = 256 and a+1 = =0.5am Part A Write an…

A: In the geometric sequence, the ratio of the consecutive terms is the same (equal) which know as a…

Q: D. Solve the following problems. 1. In the arithmetic sequence 1, 5, 9, 13, ..., which term is 209?…

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Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....

A: TO find the explicit formula of given sequence .first check the common ratio terms since ratio is…

Q: 3. Given the recursive sequence defined by a1= 1, az= 2, an= 3an-r+2an-2 , find the terms a3, a4,…

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Q: An ontario lottery has the following structure,the first person drawn from the names wins $15000.…

A: We will find out the required values.

Q: 1. Consider the sequence: 12, 19, 26, 33, ..., 187 a) Determine the number of terms in each…

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Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

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Q: Find the explicit formula for the given sequence. 2,8, 32, 128, ...

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Q: If {8,11, 14, 17,.....} is the given arithmetic sequence, then the common difference d = O 3 -8 -3 O…

A: The given sequence is                                 {8,11,14,17,.....}     The first term of the…

Q: In an arithmetic sequence a1, a2, , an, if the first term is 4 and the common difference is 4, then…

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Q: Insert the indicated number of arithmetic means between the given first and last…

A: Step 1:Arithmetic Progressiona, a1, a2, a3, ⋅⋅⋅ an, l.Wherea = First Term.l = last term.d =…

Q: In an arithmetic sequence {a1, a2, a3, -} the first term is 5 and the 19th term is 95, then S19 is

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Q: 11. In a geometric sequence, if a2 = 21 and az = 5103, find a and r. Make sure to use the…

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Q: 5. The third term of an arithmetic sequence is 28, while the fourth term is 41. Write the sum of the…

A: Given:  Third term of arithmetic sequence =28                fourth term     =41  To find : Sum of…

Q: 5. What is the 100th term of the arithmetic sequence 8, 12, 16, 20...? * 108 O 396 O 404 O 408

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Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

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Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6)…

A: Given, The explicit formula for geometric sequence  an= -3×(-2)n-1 To find the first five terms plug…

Q: Write an explicit formula that can be used to find the value of an, the n th term in the sequence.…

A: Given : a = first term = 512 common difference ==6-512=12

Q: Given the arithmetic sequence an with aj -7 and d :-9, find az. | Do not include "az =" in your…

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Q: Given the geometric sequence: 100 ao 12, ај — 20, а2 3 find a formula for the n-th term: An

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Q: Given that the first term of an arithmetic sequence is 50 and the common difference is -5, what is…

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Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

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Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

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Q: In an arithmetic sequence {a1, a2, az, · .....} the first term is 6 and the 20th term is 101, then…

A: Given : a = first term =6

Q: 1. The first term of an arithmetic sequence is equal to 200 and the common difference is equal to…

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Q: 10. Find the sum of the first 40 terms of the arithmetic sequence {1,6, 11, 16, . ..}. Make sure to…

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Q: Refer to the following arithmetic sequence: 2, 10, 18 , 26, 34, 42, .... What is a recursive formula…

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Q: 1. a) Determine the first three terms of each sequence, where ne N. b) Determine whether each…

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Q: Write the first five terms of the sequence given by an = 2 ^n/n!, Begin with n=0

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 1 The table below identifies the values for the first 5 terms in an arithmetic sequence. 1 2 3 4 5…

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Q: a) Suppose the fifth term of an arithmetic sequence is 18 and the sum of the first eleven terms is…

A: We need to solve these questions using the equations related to arithmetic and geometric sequence.

Q: In an arithmetic sequence a1, a2, · ·., an , if the first term is 3 and the common difference is 4,…

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Q: If the 100th term of an arithmetic sequence is 589, and its common difference is 6, then its first…

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Q: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

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Q: Refer to the following arithmetic sequence: 2, 10, 18, 26, 34, 42, ... What is a non-recursive…

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Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.