Question: The 1st term of an arithmetic progression is 3x + 2. The last term is 13x + 8 and the common difference is 2. Find,

The 1st term of an arithmetic progression is 3x + 2. The last term is 13x + 8 and the common difference is 2. Find, in terms of x,

a) The number of terms

b) The sum of all the terms.

Step by Step Solution

★★★★★

3.26 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

ANSWER a To find the number of terms in an arithmetic progressio... 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:

The first term of an arithmetic progression is 8 and the last term is 34. The sum of the first sic terms is 58. Find the number of terms in this progression.

Q:

a. The sixth term of an arithmetic progression is 35 and the sum of the first ten terms is 335. Find the eighth term. b. A geometric progression has first term 8 and common ratio r. A second...

Q:

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...

Q:

Word File Edit View Insert Format Font Tools Table Window $ Help $ 49% Mon 11:45 AM CARLOS QE a $513B_PRECALC_ArithmeticSequences.docx 100% Q Search in Document A Home Layout Document Elements Tables...

Q:

1. The first term of an arithmetic progression is -10 and the last term is 35. If the common difference is 3, a. Find the number of terms in the sequence. b. Calculate the sum of all the terms. 2.Two...

Q:

Conic Sections Sequences and Series Instructions 1. Read and study the material required to complete this task. 2. Then, solve each exercise/problem. Include the entire procedure for each exercise to...

Q:

Carmona National High School Grade 10 - MATHEMATICS I. Read and analyze each item carefully. Choose the correct answer from the given choices. 1. Find the eight term of a geometric sequence where the...

Q:

xcercise 0 The fourth term of an arithmetic progression is 7 and the tenth term is 16. Find the frst term and the common difference. 9 In an arithmetic progression, the 1St term is 12. the 17'th term...

Q:

1.Find the 23rd term of the Arithmetic Progression -7, -3, 1, . . .* 88 60 4 81 2.Find the sum to infinity to the following Geometric Progression 9, -6, 4, . . .* 5 5 ? 4 5 ? 3.Determine the sequence...

Q:

3 This assignment covers material from Units 8 to 9 in the Mathematics 244 Study Guide. It is due after Unit 9 in the Study Guide is completed. Total Marks = 100 Business Mathematics 1. What is the...

Q:

The following information is available from the audited financial statements of Molson Coors Brewing Company and Big Rock Breweries Income Trust for their year ends.(10 Marks) Molson/Coors (in...

Q:

Compare the growth success and potentials of India and China. List the advantages and disadvantages of each.

Q:

Why would this strategy be advantageous? When hedging Raven may be able to reduce the risk of imposing restrictions on currency exchange operations, but hedging will also reduce the expected amount...

Q:

For registered students at universities in the U.S., which is larger: average age or median age? p-968

Q:

How many women need to be studied in each group (equal sample size per group) to have an 80% probability of detecting a significant difference if a two-sided test is used with a type I error of 5%?...

Q:

Suppose that 20,000 women are recruited in each group in the actual study. How much power would the study have under the same assumptions just given? Cancer The effect of using postmenopausal...

Q:

One problem with the design is that about 20% of the women who are randomized to PMH will not comply (i.e., will go off PMH during the trial). In addition, 10% of the participants in the control...

Q:

You purchase a bond with an clean price of $1,141. The bond has a coupon rate of 8 percent, and there are 5 months to the next semiannual coupon date. What is the dirty price of the bond? Enter the...

Q:

Your employer uses a flat benefit formula to determine retirement payments to its employees. The fund pays an annual benefit of $3,000 per year of service. Calculate your annual benefit payments for...

Q:

On October 1, Concord Ltd. purchased 7% bonds with a face value of $1,000 for trading purposes, accounting for the investment at FV-NI. The bonds were priced at 1.029 to yield Concord 6%, and pay...