The 20th term of an arithmetic progression is 41 and the sum of the first 20 terms

Question:

The 20th term of an arithmetic progression is −41 and the sum of the first
20 terms is −440. 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 11:24 AM

See More Questions

a) The 15th term of an arithmetic progression is 24. The sum of the first 15 terms is 570. Work out the first three terms. b) The sum of the first N terms of this arithmetic progression is 0. Work...
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...
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...
Find the area between the parabolas y = 2x 2 + 1 and y = x 2 + 5.
A local golf pro wanted to compare two styles of golf club. One golf club had a graphite shaft and the other had the latest style of steel shaft. It is a common belief that graphite shafts allow a...
Vincent Cardoza is the owner and manager of a machine shop that does custom order work. This Wednesday afternoon, he has received calls from two customers who would like to place rush orders. One is...
An advanced engineering computer was purchased for $\$ 22,750$ and its expected life is 4 years. It is estimated the company could sell the computer for $\$ 500$ after 5 years. Compute and compare...
Cook Corporation manufactures plastic garbage cans. In a typical year, the firm produces between 40,000 and 50,000 cans. At this level of production, fixed costs are $10,000 and variable costs are $2...
In political economy models, what is the initial force that puts more developed countries (or cores) in circular and cumulative causation and keeps the world polarized between the rich and poor?
3 Consider the following possible alternatives to the vector norms we encountered in the notes. For each, state whether the proposed definition satisfies the conditions of a norm or not. If it does,...
A geometric progression has its 1st term and 3rd term as 3/7 and 12/175, respectively. The common ratio, r, is positive. Find r and the sum to infinity of this geometric progression.
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The function f(x) = sin x + c satisfies f (n) = f (n+4) for all integers n 1.
Calculate the standard free-energy change and the equilibrium constant Kp for the following reaction at 25 C. See Table 18.2 for data. CO(g) 3H2(g) CH4(g) H20(g)
The total number of points scored in Super Bowl football games and the changes in the Dow Jones Industrial stock index in the years following those games Exercises 916, list pairs of variables. For...
Normalize this form: Purchase Order (Customer copy) Order: 345 To: Jack Trout Swillbuckets Club West Yorkshire 8/12/2002 From: Cooper's Brewery 15 Brewery St Fillem Product No Name Quantity Price 10...
A proton $\mathrm{p}_{1}$ moving in the Earth reference frame collides with a proton $p_{2}$ that is at rest in that reference frame. The collision creates a particle that has mass $m$ and an...
The Iorentz. Cup spaceship race is won by the pilot who can travel $1.00 \times 10^{9} \mathrm{~m}$ in the shortest time interval. The rules state that the start and finish lines must be \(10^{9}...
The weights and costs of 50 different bags of apples. Exercises 916, list pairs of variables. For each pair, state whether you believe the two variables are correlated. If you believe they are...
Must each partner in a partnership contribute an amount of capital that is proportionate to its profit-sharing ratio? Explain.
Find the reduced echelon form of each of the matrices given in Problems 120. c 1 26 + 4
What test can be used to compare the two groups if this more efficient method is used? A more efficient method of analysis would leave the change in retinopathy level in its raw form without grouping...
Implement the test in Problem 10.149, and provide a p-value (two-tailed)? A more efficient method of analysis would leave the change in retinopathy level in its raw form without grouping the data but...
Reanalyze the data in Table 10.49 using the Wilcoxon rank sum test? Table 10.49: Outcome data for the Sorbinil Retinopathy Trial (n = 481) change in retinopathy level A more efficient method of...
V ndo over the entire surface of the volume in the first octant bounded by ++ 16 and the coordinate planes, where V=(+-)+(2xyz-2ry)j-rzk.
Identify the center , Radius & Diameter 4) x+ y= 645) (x-8)+(y+12)= 256) (x+7)+ y= 36
Assume vdc = 4v, vac = 10mv and an ideal diode. (vt =25 mv), calculate DC output voltage (Vo)

The 20th term of an arithmetic progression is 41 and the sum of the first 20 terms

Question:

Step by Step Answer:

Let the first term of the arithmetic progression be denoted by a and the common diff...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions