9. Solve the following. (a) Find a closed formula for the sequence 6,–12, 18,–24, 30, –36,.. (b) Find the sum: Eo Tk+ 1)! *

Q: The nth term of a sequence is given by an find the first two terms. %3D n+1"

A:

Q: Find the first 6 terms of the sequence. 1. a, =n'+4

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the formula (nth term) of the sequence -2, 4, -8, 16, -32, .. O an = n? + 6 an = (n-5)/4 %3D O…

A:

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

A:

Q: Find an explicit formula for the following sequence. 3 15 19 where n 1 - 1' 22 4 5

A:

Q: Which explicit formula describes the geometric sequence {1/3,1/9,1/27, 1/81…}? A. an= 1/3 (3)^n-1…

A: Given sequence is: 13,19,127,181, ...

Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: Given 5n3-2n2

Q: 1. Find these terms of the sequence (a,), where a, = 2 (-3y"+5". %3D b) a c) as d) as a) do

A: .

Q: Find the first four terms of the sequence given by the following. 4n an n = 1, 2, 3, ... 3n+2 0.000…

A:

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn = 2n…

A:

Q: Find a formula for the nth term of each sequence.2/6, 3/7, 4/8, ...

A: If you see the first term of the sequence the numerator is 2 and in further terms, it is increasing…

Q: Write an explicit formula for an, the n' th term of the sequence 4, –20, 100, ....

A: Here we have to write an explicit formula for an  In the given sequence    a1 = 4 , a2 = -20 , a3 =…

Q: of the first 100 terms of the sequence: ; 99 Find the sum ak k=0

A: Given that, an=6+9n We need to find the sum of the first 100 terms of the sequence ∑k=099 ak

Q: Find the first six terms of the piecewise sequence: S(- 2)" – 4 if n is even An 3n -1 3 if nis odd

A: solutiongiven an=-2n-4 , if n is even3n-1-3 , if n is oddfirst six terms of the pieccurce…

Q: the smallest of the terms of the 2 sequence = n - gn-100 when iz is valuable n

A: The given sequence is,Xn=n2-9n-100

Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: Find the formula of the general term an of the sequence: 3 1 2 .. 1, 2 2

A: The solution is given as

Q: Find the first four terms of the sequence given by the following. (-1)"*1 an п3D 1, 2, 3, ... %3D…

A: We have to find first four terms of the given sequence.

Q: find a formula for the nth term of the sequence. 1, 0, 1, 0, 1,...

A: Given the series:1, 0, 1, 0, 1…

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

A: Given: -

Q: ind a formula for the solution of the sequence An Зап-1 — 2ап-2, п23, а, — 2, а2 — 3 |

A:

Q: Find the sum of the sequence. I (k° +4) k=1

A: Given sequence is

Q: A formula for the sequence 0, 3, 8, 15, 24, is Select one: О a.(п - 1) (2n -1) O b.n(2n + 1) О с (п…

A: Given sequence is 0,3,8,15,24..... Now we can write, 0=1-13=4-18=9-115=16-124=25-1

Q: The first 4 terms in the sequence defined by the formula a; (-1)*+1 5 for i >1 a2= az = a4 =

A:

Q: The nth term of the following sequence 1,4,7,10,.is A. n В. Зп — 2

A: Solution of the problem as follows

Q: () What will be the 7th term in the sequence defined by gn = 2 · n-1 Enter your answer as a…

A:

Q: What is the sum of the first 10 powers of 2? Assume the first term of the sequence is a1=2 A.s20=…

A: Given: A sequence of 10 terms with powers of 2, starts with first term a1=2. The objective is to…

Q: B. Find the first three terms of each sequence using the given rule. 1. a = 2 and an= an-1+3, for…

A:

Q: Find the first five terms of the following sequence, starting with n = 1. b, = (-1)"(4n² – 4) Give…

A:

Q: Find first five terms of the sequence. An Зп + 1 bn = (-1)"n² 2n Сп n ||

A:

Q: Find the first four terms in the sequence. 2" 3) а a 2n + 1

A: solution.

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

A:

Q: Plot the first four terms of the sequence 3n2 – 3n + 2 2 n=1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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

A: Our Aim is to find four terms and the eighth term of the sequence given below:-3n-2n2+1-(i)

Q: Find an expression for the n th term (t) in each of the following sequence: 1 1 1 1 1 >... 3 4 5 6.…

A:

Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: Given:                  ...(1) To find the terms of the sequence, Plug n=0 in the equation (1) we…

Q: Find the nth partial sum of the arithmetic sequence. an 2n - x; n = 18 S18 =

A: an = 2n-x; n =18  To Find the nth partial sum of the arithmetic sequence

Q: find a formula for the nth term of the sequence. 2, 6, 10, 14, 18,...

A: 2, 6, 10, 14, 18,........ It is an arithmetic sequence with

Q: Find the indicated term of the sequence: an = n(3n + 1); a15

A:

Q: 1 n(n+1)

A:

Q: 1. Find an explicit formula for the general term of the given sequence: 5, 10, 20, 40, 80,…..

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

Q: 2n Write down the first five terms of the sequence an %3D n+7

A:

Q: What is the formula for the sequence 0, 1/pi1/2, 4/pi1/3, 9/pi1/4 starting with the term n=1?

A:

Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

A:

Q: Use the approach in Gauss's Problem to find the sum of the arithmetic sequence: 6+12+18+...+600

A: We Help of the Gauss's Problem to find The sum of the arithmetic sequence.

Q: 11. Write the formula for the nth term of the following sequence: 3,-9, 27,-81, 243, -..

A:

Q: Find the formula (nth term) of the sequence 4, 10, 28, 82, 244, .... O an = 3n + 1 an = 6n + 1 O an…

A: Given, The sequence  4, 10, 28, 82, 244, .... We have to find the nth term of the sequence

Q: =(-1) 你十2

A:

Q: Find all the terms of the finite sequence. 6) an = n²-n for 1≤n=5

A:

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!