Question: The first three terms of an arithmetic progression are (m 3), (m + 1) and (5m + 5). a) Work out the value of

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.

Step by Step Solution

★★★★★

3.48 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

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

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Complete Pure Mathematics Questions!

Q:

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...

Q:

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...

Q:

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...

Q:

4- The sum of the first twenty terms in an arithmetic progression is 840 "and the common difference is 4. Find: "(a) the first term, "(bl' the sum of the first ten terms. 2 2 [Modified exam:question]...

Q:

1. Find the sum of the following exercises using the respective sum formulas of progressions. (5 points each) a. The first 32 terms of the arithmetic progression a n ={7,15,23,31,...} b. The first 9...

Q:

The table below gives the color and cost of light bulbs that were sold at a certain store. These are the only light bulbs that the store sold. Calar Cost ($ ) Red A Yellow 4 Purple 5 Green 2 White 3...

Q:

The table below gives the color and cost of light bulbs that were sold at a certain store. These are the only light bulbs that the store sold. Calar Cost ($ ) Red A Yellow 4 Purple 5 Green 2 White 3...

Q:

ninth 2412 - Final Exam Review Problems 59. 60. 61. 62. 63. 64. 65. 66. 67. 68. 69. 70. 71. 72. 73. Identify 3.1'2 21'y + 9-2 + 21' + 2y 8 = [1 without applying a rotation of axes. State the center...

Q:

The table below gives the material of each item in Keisha's jewelry box. These are the only items in Keisha's jewelry box. Item Material Bracelet Silver Ring Platinum Pendant Copper Necklace Copper...

Q:

with detailed solution clean and neat handwriting PROBLEM 1. In a study of Holy Angel University - Basic Education students enrolled in the work immersion program, 88 respondents stated they would be...

Q:

Which one of the following is not a redox reaction? Correct Answer: Al(OH).(aq) + 4H (aq) --> Al(aq) + 4HO(1) C.H.O.(s) +60.(g) --> 6CO.(g) + 6HO(1) Na FeCl.(s) + 2Na(1) --> 8NaCl(s) + Fe(s)...

Q:

What is the best way to get into business? Why do you think so?

Q:

What are the main implications of the material discussed in this chapter for strategy formulation?

Q:

Diastolic blood pressure is considered a better indicator of heart trouble than sys- tolic pressure. The figure below shows age-specific average diastolic blood pres- sure for the men age 20 and over...

Q:

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...

Q:

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....

Q:

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.

Q:

If an investment costs $140,000 with no residual value, an expected increase in net income of $35,000 and a 5 year useful life, the payback period would be: 2 years 5 years 2.2 years 4 years

Q:

Which of the following is NOT an example of agency problems? A.The company's officers and board of directors are selling their stocks of the firm at higher prices due to false accounting reports that...

Q:

Compute the cost of Goods Manufactured and Cost of Goods Sold for Golden Bay Company for the most recent year using the amounts described next. Assume that Raw Materials Inventory contains only...