1. Write the first four terms of the sequence defined by the recursive formula a =-14, a, = 2+a,-1 2. Write the first four terms of the sequence defined by the explicit formula a, = n²-n-1 n!

Q: What are the first five terms of the sequence defined by the recursive formula a1 = 2 an = 2an-1 +…

A: Given, a1 = 2 an = 2an-1 + 1        for          n ≥ 2

Q: Question 5 Define a sequence using the formula b,=2bn-1-bn-2 for n 23 with b1=2 and b2 = 8. %3D Find…

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Q: 00 In Write down the first five terms of the sequence 7/3 n +2 ) n=1

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Q: n+1 Зп + (-2)" n=0

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Q: Find the correct recursive formula of the given sequence. 3, -2, -7, -12,

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Q: D Write down the first five terms of the sequence \ n + 3 . n=1

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Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

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Q: is The common ratio for the geometric sequence %.4. 2. 1. O A) -2 O B) O C) 2 O D) -

A: The given geometric sequence is                                                     8 , 4 , 2 , 1 ,…

Q: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Given: 3, -6, 12, -24, . . . . is the geometric sequence. To find: the sum of the first 11 terms of…

Q: 1. Find the first five terms of the geometric sequence for which a1 3 and r = -2. %3D

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Q: If the general term of an arithmetic sequence is :- 1 2n. T(n) = %3D then the

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Q: Find the first five terms of the sequence 2" -1 n 1, 2, 3, .. аn n2 1

A: Given: -

Q: If the general term of an arithmetic sequence is a(n) = 7n - 3, find the sum of the first 7 terms of…

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Q: Write the first five terms of the recursively defined sequence. 1 a, = 6, ak+1 3 a, = a2 %D a3 a5 4.

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Q: Find the first five terms of the sequence defined recursively below. c1 = -3 cn = 4cn-1 + n - 4

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Q: write a general formula for the nth term of the sequence. an =- 4"-1 (n+1)² an 2 n- 1 an

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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: The non-recursively defined formula for writing an arithmetic sequence is given by: an = C+ (n -…

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Q: Write a recursive formula for the following arithmetic sequence. 11, 6, 1, -4, ... %3D for n 2

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Q: Suppose that the 8th term of an arithmetic sequence is -1 and the 20th term is 2. Write the general…

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Q: Find the first four terms and the 100th term of the sequence.  an=(-1)^n+1 n/n+3

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Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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Q: Find the sum of the first 6 terms of the sequence defined by an = -7 (-4)n-1 for n 2 1 5733 O 28 O -…

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Q: For the given geometric sequence. Find the sum of the first 5 terms of 4, 12, 36,…

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Q: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

Q: 1. Find the first, second, and sixth terms of the sequence an=4n-2

A: we have to find the first , second and sixth term of the given sequence

Q: a = 5, a,+1=-3a,

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Q: If the first 5 terms of a geometric sequence are {12, 6, 3, the formula for the nth term in the…

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Q: = (-1)"/(n³). Write the first five terms of the sequence whose nth term is a, a, = a2 az = as

A: Solution is given below:

Q: 1. If the first three terms of an arithmetic sequence are k - 2, 2k +1 and k + 2, find the value of…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Write an explicit formula for an, the nth term of the sequence 5, 15, 25, ....

A: *to find:- nth term, a_n.

Q: The explicit formula of an arithmetic sequence is an =-4.5+6.5(n-1), what is the recursive formula?

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Q: find the arithmetic sequence. formula for an for 8,1,6,-13,-20...

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Q: Consider the recursive form of a geometric sequence. Starting at 2. NEXT = 4 x NOW. Which is the…

A: Given :  Recursive form of geometric…

Q: Given the sequence 1,2,3,4,5,... and the sequence 3,4,5,6,7,... whats the product of the two linear…

A: It is given that, the  sequence 1,2,3,4,5,...and the sequence 3,4,5,6,7,...    We have to find the…

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: What are the first five terms in the recursive sequence defined by the following? a1=0 an=an−1−1.4…

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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: Find the firstive terms of the recursive sequence 2 a, -3 a,-2a+1

A: The terms of recursive sequence can be obtained by substituting the value of n, the the value of…

Q: If the numbers r, z+1, 2(z +3) are consecutive terms of a geometric sequence, what is the value of…

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Q: What is the common ratio, a1, a2, a3, and a4 of this geometric sequence: {(7^(n-2))/3}

A: Consider the provided geometric sequence,

Q: Find the first five terms of the given recursively defined sequence. 2an - 1 + 6 and a₁ = 2 n- a₁ a2…

A: Given     an = 2an-1 + 6    and a1 = 2 We need to find a1, a2, a3, a4, a5

Q: 42. Find the second, fourth, and eleventh terms of the sequence described by: A(n) = 9 + (n - 1) (3)

A: The given sequence is, An=9+n-13 The second term is n=2 A2=9+2-13=9+3=12

Q: 7. Find the first five terms of the sequence defined by each of these recurre a) an = 6an-1, a0 = 2…

A: Introduction: A recurrence relation is a formula that describes a series based on a rule that…

Q: Find the first four terms of the sequence with a recursive formula.

A: We have a recursive formula here. In a recursive formula, every subsequent term is derived from the…

Q: Find the first four terms and the eighth term of the sequence.

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Q: Find the first six terms of the piecewise sequence: S( - 2)" (– 2)" – 3 if n is even an = | 3-1 – 4…

A: n=1 , 3 , 5 are odd, so we use the second piece

Q: 9. Find the value of x and y if x-y, 7x+y-1, and -5y are consecutive terms of an arithmetic…

A: As per the instruction, we will be answering only the first question. We need to find all the value…

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.