The sixth term of an arithmetic progression is 3 and the sum of the first ten terms
Question:
The sixth term of an arithmetic progression is −3 and the sum of the first ten terms is −10.
a. Find the first term and the common difference.
b. Given that the nth term of this progression is −59, find the value of n.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (14 reviews)
a Let the first term of the arithmetic progression be a and the common differe...View the full answer
Answered By
Tejaswi Kopparapu
Through my training and programming, I have developed the ability to provide clear and concise explanations, offer examples and analogies, and adapt my responses to match the individual learning styles and levels of my users. I have access to a vast database of knowledge and resources that I can draw upon to provide comprehensive and accurate information.
Furthermore, I can offer interactive learning experiences such as quizzes, exercises, and simulations to help reinforce concepts and provide hands-on practice.
Overall, while I may not have hands-on experience as a traditional tutor, I am proficient in providing educational assistance and support to individuals seeking academic help.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The 15 th term of an arithmetic progression is 3 and the sum of the first 8 terms is 194. a. Fid the first term of the progression and the common difference. b. Given that the nth term of the...
-
The kth term of an arithmetic progression is given by u k = 12 + 4 k . a. Write down the first three terms of the progression. b. Calculate the sum of the first 12 terms of this progression.
-
The first term of an arithmetic progression is 12 and the sum of the first 16 terms is 282. a. Find the common difference of this progression. The first, fifth and nth term of this arithmetic...
-
The economic environment of our country currently does not lend itself to being able to successfully run capital campaigns. In a two page document, research and identify 2 successfully capital...
-
Exhibit 25.5 presents two approaches for estimating operating taxes. Use both methods to determine the operating taxes for ToyCo in year 3. What are ToyCo's statutory rate, effective tax rate, and...
-
Find the net force on the Moon (mM = 7.35 Ã 1022 kg) due to the gravitational attraction of both the Earth (mE = 5.98 Ã 1024 kg) and the Sun (mS = 1.99 Ã 1030 kg), assuming they...
-
In a vibration study, certain airplane components were subjected to severe vibrations until they showed structural failures. Given the following failure times (in minutes), test whether they can be...
-
The Piedmont Computer Company has brought legal action against ATC Corporation for alleged monopolistic practices in the development of software. The claim has been pending for two years, with both...
-
Problem No. 1 Design Member ab 1. Use A36 steel. 2. All truss members are long legs back-to-back angles. 3. At each joint, truss members are connected by 3/4" thick gusset plates. 4. Assume three...
-
The following are three situations, all involving private companies, in which the auditor is required to develop an audit strategy: 1. The client has inventory at approximately 50 locations in a...
-
The second term of a geometric progression is 1458 and the fifth term is 432. Find: a. The common ratio b. The first term c. The sum to infinity.
-
In the diagram, OAB is an isosceles triangle with OA = OB and angle AOB = 2 radians. Arc PST has centre O and radius r, and the line ASB is a tangent to the arc PST at S. i. Find the total area of...
-
Problem refer to the following figure: Use L 5 and R 5 to approximate 6 1 (0.25x 2 - 4) dx. Compute error bounds for each. (Round answers to two decimal places.) Describe in geometric terms what the...
-
All the statements are correct statements regarding charitable contributions, except? A. Ordinary income property will always have a valuation limit as the lesser of FMV or basis. B. If the basis...
-
1 April 30 Commissions revenue 15,350 Income summary 15,350 2 April 30 Income summary ? Insurance expense 130 Rent expense 2,900 Office supplies expense 1,000 Repairs expense 250 Telephone expense...
-
Romsen Manufacturing, Inc., a producer of precision machine parts, uses a predeter- mined overhead rate to apply overhead. Overhead is applied on the basis of machine hours in the Drilling Department...
-
The particular solution of (D-9D)u=sin(6x + 2y) is u, = a)+sin(6x + +2y) b) cos(6x + 2y') c)=sin(6x+2y) 12 d) cos(6r+2y)
-
There are four profit models, propose how McDonalds could make revenue under each of the four profit models?
-
A hat manufacturing firm has the following production function with capital and labor being the inputs: Q = min(4L, 7K)-that is it has a fixed-proportions production function. If w is the cost of a...
-
Annual dividends of ATTA Corp grew from $0.96 in 2005 to $1.76 in 2017. What was the annual growth rate?
-
Relative to an origin O, the position vectors of the points A and B are given by OA vector = 5i +3j and OB vecoter = 5i + kj + k. a. In the case where = 0 and = 7, find the unit vector in the...
-
Write down the vector equation for the line through the point A that is parallel to vector b when: a. A(0, 1, 5) and b = 2i + 6j k b. A( 0, 0, 0 ) and b = 7i j k c. A(7, 2, 3) and b = 3i 4k.
-
The position vectors of the points A, B,C and D are given by a, b, c and d, respectively, where a. i. Find ii. Deduce that ABCD is a parallelogram b. Find the coordinates of i. The point M, the...
-
There are different ways to design appraisal systems ( format and measurement ) . There are category rating methods ( eg . Graphic scale, checklist and force choice ) , comparative methods ( eg ....
-
What are currency swaps used for? What is the interest rate swap? Explain
-
Trevor Mills produces agricultural feed at its only plant. Materials are added at the beginning of the process. Information on work - in - process in December follows: Beginning inventory, 5 6 , 0 0...
Study smarter with the SolutionInn App