The first term of an arithmetic series is (2t + 1) where t > 0 The nth term of this arithmetic series is (14t – 5) The common difference of the series is 3 The sum of the first n terms of the series can be written as p(qt – 1) r where p, q and r are integers. Find the value of p, the value of q and the value of r Show clear algebraic working.

Q: (f+g)(x) = (Simplify your answer.)

A:

Q: A gumball machine had 7 red and 3 yellow gumballs left. You put in pennies until you empty the…

A:

Q: a. Use the appropriate formula to find the value of the annuity. b. Find the interest. Periodic…

A: The given data is: P=$90r=6.5%=0.065t=30 yearsn=2                         ∵semi annually

Q: Suppose that the augmented matrix of a system of linear equations for unknowns x, y, and z is 13 3 1…

A:

Q: PART B: This part is done with only a calculator. 3. Consider the sequence (7,9,11,13,15...) (a) Is…

A: I have solved step by step in detail...go through the solution

Q: The function h(x) is defined as: = 1 x+5 can be expressed in the form f(g(x)), where g(x) = (x + 5),…

A:

Q: f(x) = 2x² - 4x +7.

A: Given function f( x ) = 2x2 - 4x + 7

Q: Assume all variable as positive integers. Given and a-2n+2 (mod 7) 000 b = 3n+1 (mod 7) Which of the…

A:

Q: 3.2 (3)   With the function (shown in the image)   A) Determines the function derived from f(x).…

A: To find out the derivative of the function, slope of tangent at the given points and also the slope…

Q: Example 3 For the last 6 years Joe has made deposits of $300 at the end of every 6 months earning…

A:

Q: 4. A student must answer exactly seven questions out of twelve on the final exam. In how many ways…

A: We have to find the number of ways she can choose to answer the questions.

Q: Consider the series S= b= by= 00 1 n-n² n=6 and its partial sums Sy= 11 (a) Show that Sy=b+by, where…

A:

Q: Question 9 The intersection of the planes x+y=2z = 1 and 2x - y + z = 4 is a line. This line…

A:

Q: Determines the vector equation of the line of intersection of the plan: (shown in the image)

A:

Q: For the given matrix and eigenvalue, find an eigenvector corresponding to the eigenvalue. 1) A = A =…

A:

Q: 4. Consider the matrix A= = 1 1 2 3 1 2 3 -4 -5 1 1 3-4 4 -5 8 Find the determinant of A via…

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…

Q: If f(x) = 8x² +9 and g(x) = 4x + a, find a so that the graph of fog crosses the y-axis at 401.

A:

Q: -. Use the graph of f(x) to answer the questions below. -5 65 A a. State the domain and range of…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: Graphing a piecewise-defined function: Problem type 1 Suppose that the function g is defined as…

A: Given function,             -1 if -3.5<x<-2.5             0 if -2.5<x<-1.5h(x)=    1 if…

Q: To win at LOTTO in one state, one must correctly select 7 numbers from a collection of 63 numbers (1…

A: we have to slove above combination problem

Q: Compute the determinant by cofactor expansion. At each step, choose a row or column that involves…

A:

Q: Determines the distance between the left right.

A:

Q: 1. Find the equation for a line that passes through the point (4,8) and intercepts the x axis at…

A:

Q: Lush Gardens Co. bought a new truck for $54,000. It paid $5,400 of this amount as a down payment and…

A: Given that , Total amount = $54000 Down payment = $5400 Rate = 4.47% compounded semi annually If the…

Q: Write the rational expressions as equivalent rational expressions with the lowest common…

A:

Q: Gina's collection of seven albums includes one classical album. Gina will choose three of her albums…

A:

Q: Please try to answer & explain me this question.   Determines the Cartesian equation of the plan…

A:

Q: Solve the problem. An artifact is discovered at a certain site. If it has 51% of the carbon-14 it…

A: A decay function is of the form:P=Po×1-rt          Equation 1   HereP=final valuePo=initial…

Q: If the rate of inflation is 3.4% per year, the future price p (t) (in dollars) of a certain item can…

A:

Q: 1 (d) A = 1 4 3 4 51 25 5 , b = 6 0 6

A: Detailed solution will be given below

Q: Evaluate each of the following limits. If you need to use co or -00, enter INFINITY or -INFINITY,…

A:

Q: Find the missing terms of each geometric sequence.(Hint: The geometric mean of the first and fifth…

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

Q: the following equation. Write your answer as a fraction reduced to lowest log_(16)(x)=(3)/(4)

A: Please see the below picture for detailed solution.

Q: Solve the problem. Round your answer to the nearest tenth, when appropriate. Use the formula…

A: Given pH = -log[ H30+]

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

A:

Q: Suppose you wish to borrow $700 for five weeks and the amount of interest you must pay is $20 per…

A: APR=Short term interest rate×52 weeksLength of loan

Q: Describe each using a double inequality. -3 13

A: NOTE: Refresh your page if you can't see any equations. . the given figure is

Q: use laplace transform to solve y'-y=2cos(t), y(0) = 4

A:

Q: Use the fact that every division problem can be rewritten as a multiplication problem with a factor…

A: Please see the below picture for detailed solution.  As per rule I need to solve only first…

Q: The table shows projections for the female population of a country (in millions). Year Female…

A: we need to find out the quadrant function and also to estimate the female population in the year…

Q: Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when…

A: let  x1=no of shock replacement jobx2=no of brake replacement job He spends 2 hours when he replaces…

Q: Given functions h(x) = = interval notation. h(x) p(x) Domain of h(p(x)) : Domain of : Domain of…

A: Here we have to find the domain.

Q: Suppose that the function fis defined on the interval [-2, 2) as follows. ƒ(x) = < -2 if -2<x< -1 -1…

A: We want to find  f( -2 ) = ?  f( -0.5 ) = ?  f( 1 ) = ?

Q: Write a slope-intercept equation Passes through (3,-7) and (0, -2)

A:

Q: Devaughn is 10 years younger than Sy dney. The sum of their ages is 86 . What is Sy dney's age?

A: Solving the following problem,

Q: (d) find the rank and nullity of A and then verify that the values obtained satisfy the dimension…

A: To find rank and nullity of A

Q: The sum of three numbers is 15. The sum of twice the first number, 3 times the second number, and 4…

A:

Q: Julio went to the park every day for a week. He recorded the temperature and the number of people in…

A: Given data Temperature55636073777273no of people2543587988100116

Q: X 1 Let f(x) Find the following functions. Simplify your answers. f(g(x)) = g(f(x)) = Question Help:…

A:

Q: Find S, for the series 1 + 5 + 25 + 125 + ... O 21,481 19,531 O165,231 32,441

A: