The sum of the first six terms of an arithmetic progression is 51 and the sum of

Question:

The sum of the first six terms of an arithmetic progression is 51 and the sum of the first 12 terms of the same progression is 282. Find the 1st term and the common difference, d.

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 14, 2023 10:30 AM

See More Questions

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 first term of an arithmetic progression is 16 and the sum of the first 20 terms is 1080. a. Find the common difference of this progression. The first, third and nth terms of this arithmetic...
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...
Create a class called Car that includes three instance variablesa model (type String), a year (type String), and a price (double). Provide a constructor that initializes the three instance variables....
Mikes Motors Corp. manufactures motors for dirt bikes. The company requires a minimum $30,000 cash balance at each month-end. If necessary, the company takes a loan to meet this requirement, at a...
(a) Determine the ratio of butadiene to styrene repeat units in a copolymer having a number-average molecular weight of 350,000 g/mol and degree of polymerization of 4425. (b) Which type(s) of...
Assess the relationship between kinship terms and behavior. In our society, we extend kin terms to many who are not biological kin. For example, we may call a Catholic nun sister. What does it mean...
Record each of the following transactions in general journal form and then show the effect of the transaction in a horizontal statements model. The first transaction is shown as an example. a....
The following information was drawn from the accounting records of Kerry Company. Net income Preferred stock outstanding, 5% cumulative Market price per share of common stock Common Stock outstanding...
In Part III (Appendix 11B) of the audit case, the audit staff of Adams, Barnes & Co. identified specific revenue risks on working paper RA-12 (page 494). However, the Summary of Audit Approach...
Find the sum to 11 terms of the geometric progression 1/2 1/4 + 1/8 1/16 + ...
The sum of the first n terms of a series is given by S n = 2n(n + 3). Show that the terms of the series form an arithmetic progression.
Transform the circuit in Figure P10-24 into the $\mathrm{s}$ domain and find: $I_{\mathrm{L}}(s)$ and $I_{\mathrm{L}}(t)$, when $v_{1}(t)=V_{\mathrm{A}} e^{-1000} t$, \(R=200 \Omega, L=200...
XYZ commenced operations on 1 June 2016 selling one type of shirt. The company uses FIFO (first in, first out) and perpetual inventory control. The June inventory and sales records for the shirts...
Eaglehawk Ltd had the following noncurrent asset on its balance sheet on 30 June 2015. The company adopts a policy of depreciating all relevant items on a straight-line basis at an annual rate of 10...
For many companies, their most valuable assets are not their cash and their inventory but their intangible assets. These intangible assets may include brand names, mastheads, patents and items that...
What is the connection (if any) between a company's revenue recognition policy and its inventory cost determination policy?
Ekumbaba Ltd is a small wholesaler of model aeroplanes. It only has a few employees. The owner of the business, who is also the manager, makes daily deposits of customers' cheques into the firm's...
Name this molecule. CI F C
Suppose that fraction used = / 1.0 + 0.1Mt. for some parameter 1. Write the discrete-time dynamical system and solve for the equilibrium. Sketch a graph of the equilibrium as a function of ....
Fit a linear-regression model relating annual incidence of diabetes to time period. (For this purpose, score the time period as 1 if 19701974, 2 if 19751979, . . . , 5 if 19901994.) Diabetes The Mayo...
Test for whether there has been a significant change in diabetes incidence over time? Diabetes The Mayo Clinic is based in Rochester, Minnesota. Residents of Rochester and surrounding areas get...
Based on your answers to Problems 11.89 and 11.90, make a projection of the incidence rate of diabetes mellitus during the period 19951999, and provide a 95% confidence interval about this estimate?...
Ladder Co. is expected to pay a dividend of $2.65 per share, one year from today. The company will increase its dividend by 10 percent per year for the following two years (dividends received two...
Cash equation [LO 18.3] Balarang Lid has an equity value of $ 13 315. Non-current debt is $8200. Net working capital, other than cash, is $2750. Non-current assets are $17 380. How much cash does the...
The Francis Company is expected to pay a dividend of D1 = $1.20 per share at the end of the year, and that dividend is expected to grow at a constant rate of 6.00% per year in the future. The...

The sum of the first six terms of an arithmetic progression is 51 and the sum of

Question:

Step by Step Answer:

Let the first term of the arithmetic progression be a and let the co...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions