The first three terms of an arithmetic progression are (m 3), (m + 1) and (5m

Question:

The first three terms of an arithmetic progression are (m − 3), (m + 1) and (5m + 5).

a) Work out the value of m.

b) Work out the sum of the first 10 terms.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 13, 2023 11:23 AM

See More Questions

a. The first two terms of an arithmetic progression are 1 and cos 2 x respectively. Show that the sum of the first ten terms can be expressed in the form a b sin 2 x, where a and b are constants to...
a. The first term of a geometric progression in which all the terms are positive is 50. The third term is 32. Find the sum to infinity of the progression. b. The first three terms of an arithmetic...
A geometric progression has first term a and common ratio r. The 1st, 2nd and 4th terms of the geometric progression form the first three terms of an arithmetic progression. a) Show that (r 1)(r + r...
Given that log 10 (x 2 y) = 4 and log 10 (x 4 /y 3 ) = 18, find the value of log 10 x and of log 10 y.
The following frequency distribution represents the number of live births (in thousands) in the United States in 2008 by age of mother. Age of Mother (years) Births (thousands) 1014 6 1519 .. 435...
Which costs are relevant for decisions to drop products LO.1
Co-INSURANCE CLAUSES. Isla Potter had a homeowner's insurance policy with $175,000 of coverage on the dwelling. Would a 90 percent co-insurance clause be better than an 80 per- cent clause in such a...
The Penguin intentionally hits Batman with his umbrella. Batman, stunned by the blow, falls backwards, knocking Robin down. Robins leg is broken in the fall, and he cries out, Holy broken bat bones!...
21 s Prepare journal entries to record each of the following four separate issuances of stock. 1. A corporation issued 5,000 shares of $20 par value common stock for $120,000 cash. 2. A corporation...
With petroleum losing its luster, to what extent can/should Atlantic Canada depend on changing their fishing industry from cod to shrimp, crab, and lobster and tourism to improve the region's...
Kwame asks his father for some money. He asks for 1 on the first day, 2 on the second day, 4 on the third day, 8 on the fourth day, etc. He wants his father to continue to double the money each day....
A clock has a pendulum. The time it takes for the pendulum's first swing is 5 seconds. The time for each successive swing is 3/5 of the time of the previous swing. Find how long it takes the pendulum...
Genesis Company expects to operate at 90% of productive capacity during May. The total manufacturing costs for May for the production of 20,000 batteries are budgeted as follows: Direct materials...
Discuss the Competitive Markets and Externalities simulations (both with and without policy interventions) . What impact do policy interventions have on the supply and demand equilibrium for a...
The best consultant to fix issue number one is Frederick Taylor who is credited with creating the scientific management movement (Lumen, n.d.). Since Taylor's work focused on how a process could be...
1. Which Pepsico products are growing faster than soft drinks (why) and by what percentage? 2. Why do the fastest growing products experience a more complex supply chain? Explain. 3. What are some of...
Use BLUF (Bottom Line UP Front) or Brief for answering the following questions: 1) There are a number of InfoSec frameworks / models available in industry. A. What is an InfoSec framework / model? B....
An introduction to organizational structure. Topics such as alternative organizational structures, the reciprocal relationship between multinational strategy and structure, and how recourses affect...
The text identified job satisfaction as an important attitude. What other attitudes might be important in work settings?
Fill in each blank so that the resulting statement is true. 83 + 103 = ______ .
How many subjects need to be enrolled in total in the study if (1) the investigators want to have a 90% chance of detecting a significant difference using a two-sided test with = .05 and (2) it is...
What is the sensitivity and specificity of the test? Obstetrics The standard screening test for Downs syndrome is based on a combination of maternal age and the level of serum alpha-fetoprotein....
What precentage of infants who test positive using the test will actually have Downs syndrome? Suppose that 1 out of 500 infants are born with Downs syndrome.
Accounting changes fall into one of three categories. Identify and explain these categories and give an example of each one.
Machinery is purchased on May 15, 2015 for $120,000 with a $10,000 salvage value and a five year life. The half year convention is followed. What method of depreciation will give the highest amount...
Flint Corporation was organized on January 1, 2020. It is authorized to issue 14,000 shares of 8%, $100 par value preferred stock, and 514,000 shares of no-par common stock with a stated value of $2...

The first three terms of an arithmetic progression are (m 3), (m + 1) and (5m

Question:

Step by Step Answer:

a We know that the common difference between any t...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions