a. Use the formula S, = (a, + a,) to show that the sum of the first n positive integers is S, = (1 + n). b. Find the sum of the first 100 positive integers. C. Find the sum of the first 1000 positive integers.

Q: Given that So(x) = 1 – for 0 <x< 100, 100 find P(K30 = 25).

A: Given  S0x=1-x100  for  0≤x≤100

Q: Use the table below to answer the following. # of pizzas # of people How many pizzas are needed for…

A: if 7 People require 3 pizzas 217 people how much pizzas(?) =(217*3)/7 =93 pizzas

Q: If m and n are integers and m x n = 0, then what is true for the values of m and n?

A: If m and n are integers and m×n=0

Q: Solve for n:   35,300 = 9,000(1 + 3.2/400)^4n

A: Solution

Q: If A = (; A-: )-..R. e M2x 2(R), find A" for any positive integer n.

A:

Q: 1 5. of Colin's money is $43 more than - of Daniel's. If the two boys have $821 altogether, how much…

A:

Q: Each letter of the alphabet is assigned an​ integer, starting with A=​0, B​=1, and so on. The…

A: Solution: The objective is to find what​ two-letter word is represented by the digits ​02.

Q: For non-negative integer n and r, where 1<rsn, show that (n-r+1)"C,=n(""C,1). r-1

A:

Q: Find a formula for Ak, given that A = PDP-1, wshere P and D are given below. [-22 30] A = [-24 32] P…

A: We have to solve given problem;

Q: What is the z-score if µ = 89, σ = 11.5, and x = 82? -0.61 0.79 -1.21 1.37

A:

Q: Which of the following is the smallest, positive value of n for which i⁵·iⁿ is equal to - i? *

A: We can use the concept of complex analysis.

Q: The order of the element 3 in Z24 is

A: Given: Z24 Formula Used: The order of an element k in Zn is given by Ok=nhcfk,n

Q: E Show that the sum of the squares of the first n Fibonacci numbers is given by the formula u + už +…

A: I have proved the result by using given hint

Q: Jim was born in 1968. Martha was born in 1985; Suzie was born 7 years later and Pam was born 12…

A: Write the year of the birth of each member one by one and than match them.

Q: in class of N students where girls and boys and boys ratio is p:q savita ranked rth from the top. if…

A: Total number of students in class= N Ratio of girls to boys: p:q And it is given that Savita ranked…

Q: M d formulas for the entries of M", where n is a positive integer.

A: To find the power of a matrix

Q: 4. Show that for all formulas p, p,0 E S(P), (a) (9 = 4) = ¬(4 ^ ¬ab).

A:

Q: What value would be returned based on the formula in Cell A49? A 43 | праb 44 прсе 45 npfo 46 npbb…

A: Based on the formula given, it is understood that the value obtained would be the number of…

Q: Find a counterexample to show that the following statement is false. The sum of two four-digit…

A:

Q: Compute the values of the following terms:

A: since u have asked multiple questions in a single request so we will be answering only first…

Q: 5. Find the sum of the first 10 terms of An, where 1, and a2 an 2aп-1 + an-2, а1 %3D %3D = 1.

A:

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 5 in.…

A:

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is the last two digits…

A: Permutation: Permutation:  The permutation is a method of arranging objects in a specific order.…

Q: Find the largest number δ such that if |x − 4| &lt; δ, then |2x − 8| &lt; ε, where ε = 0.1.δ ≤ 1…

A: When ε=0.1 and δ≤1Simplifying the absolute value inequality:

Q: If the mth term of an A.P is 1/n and the nth term is 1/m, show that the sum of mn terms is 1/2(mn+1)

A: In this question we have to prove sum of mn terms is 12mn+1 We know, A.P, for mth termam=a+m-1dand…

Q: Use the formula for C(n,r) to evaluate the given expression. C(17,0) C(17,0)=(Type an integer or a…

A:

Q: For all numbers x: Ixl >.. Which is the appropriate counterexample? O 1 O 1 O 2 O 2

A:

Q: The sum of the nth row of Pascal's triangle equals 2". O True O False

A: Given that the nth row of Pascal's triangle equal to 2n

Q: Which of the above will have a value of 1? [Select] Which of 1-7 would be evaluated by [Select] 601…

A: It is given that n=50 and p= probability a single student passes the exam.

Q: What is the fifty-fifth term of 1, -1, 1, -1, . A) o в) 1 (c) -1 D infinity

A: Given that: 1, -1, 1, -1, ....

Q: Anbber band is n inches long If a child stretches the rubber band, and the new length of the rubber…

A: The percentage increase in length is given by the formula final length - initial lengthinitial…

Q: Match these values or r with the accompanying scatterplots: 0.761, 1, -0.396, -0.997, and -0.761

A: Correlation coefficient measures the strength and direction of the linear relationship between two…

Q: For each integer n, let Tn = {n, n2}. How many elements are in each of T2, T−3, T1 and T0? Justify…

A: Consider Tn=n,n2, where n is an integer. The objective is to find the number of elements in each of…

Q: d of a power reducing formula, 22sin a =?

A:

Q: A certain king sent 30 men into his orchard to plant trees. If they could set out 1000 trees in 9…

A: Given that 30 men plant 1000 trees in 9 days. a) If x men plant y trees in 9 days, the number of…

Q: Find a formula for an, n > 1, if an is given by

A:

Q: For each integer n > 2, let P(n) bè thế för n-1 Eili +2) = n(n-1)(2n + 5) 6. %3D i=1

A: Given                   P(n):   ∑i=1n-1i(i+2)=nn-12n+56,          n≥2

Q: If the number ordered is O, the number backordered is B, and the number shipped is S, which formula…

A: S = number of items shipped O = number of ordered items B = number of items backordered.

Q: Find the total number of in H.C.F. of n and 36 is 1.

A:

Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

A:

Q: Find values of k that satisfy the following equation: JE 1 2 0 1 [1 1 k] 2 3 3 1 k

A:

Q: Find (r In r)9) and ()").

A: Use the following differntiation formulae, to obtain the required derivatives.…

Q: Evaluate the following formula for x₁ = 27.9785, x₂ =25.5651, H₁-H₂ = 0, sp = 43.29, n₁ = 41, and n₂…

A: Givenx1=27.9785x2=25.5651sp=43.29n1=41n2=43μ1-μ2=0

Q: The number N of deer in a certain population t years after observation began is given by  N =…

A: Given: The number N of deer in a certain population t years is To find: The deer population after…

Q: Answer each of the following. In how many ways can 6 persons be seated in a row? In how many ways…

A: 1) The objective is to find the number of ways 6 persons can be seated in a row:

Q: 14. From the digits 1 to 9, how many numbers of five different digits each can be formed if each…

A:

Q: Suppose the final score in a hockey game is 4 to 2. How many possible scores are there after the 1st…

A: Team one had 5 different possible score total at the end of the 2nd {0,1,2,3,4} Team two had 3…