All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
GMAT Exam  >  GMAT Questions  >  The first term and the last term of an arithm... Start Learning for Free
SaveJoin the Discussion on the App
The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420?
Clear all your GMAT doubts with EduRev
Most Upvoted Answer
The first term and the last term of an arithmetic progression are 1 an...
Problem Analysis:
We are given the first term (a) and last term (l) of an arithmetic progression, and we need to find the number of terms (n) if the sum of all the terms is 420.

Formula:
The formula to find the sum of an arithmetic progression is:
S = (n/2)(a + l)

Solution:
To solve this problem, we can use the formula for the sum of an arithmetic progression and substitute the given values.

Given:
First term (a) = 1
Last term (l) = 20
Sum of all terms (S) = 420

Substituting the given values into the formula:
420 = (n/2)(1 + 20)

Simplifying the equation:
420 = (n/2)(21)

Dividing both sides of the equation by 21:
20 = (n/2)

Multiplying both sides of the equation by 2:
40 = n

Therefore, the number of terms in the arithmetic progression is 40.

Final Answer:
The number of terms in the arithmetic progression is 40.
Community Answer
The first term and the last term of an arithmetic progression are 1 an...
40
Attention GMAT Students!
To make sure you are not studying endlessly, EduRev has designed GMAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in GMAT.
Explore Courses for GMAT exam

Similar GMAT Doubts

It is true that developments since the last war in Britain have so increased the progressive character of the income tax as to make the burden of taxation progressive throughout and that, through redistributive expenditure on subsidies and services, the income of the very lowest classes has been increased... by as much as 22 percent. But the latter development is little dependent on the present high rates of progression but is financed mainly by the contributions of the middle and upper ranges of the middle class.All arguments in support of progression can be used to justify any degree of progression. Its advocates may realize that beyond a certain point the adverse effects on the efficiency of the economic system may become so serious as to make it inexpedient to push it any further. But the argument based on the presumed justice of progression provides for no limitation, as has often been admitted by its supporters, before all incomes above a certain figure are confiscated and those below left untaxed. Unlike proportionality, progression provides no principle that tells us what the relative burden of different persons ought to be. It is no more than a rejection of proportionality in favor of a discrimination against the wealthy without any criterion for limiting the extent of this discrimination. Because there is no real rate of progression that can be demonstrated by formula, it is only the newness of the principle that has prevented its being carried at once to punitive rates. But there is no reason why a little more than before should not always be represented as just and reasonable.It is the great merit of proportional taxation that it provides a rule which is likely to be agreed upon by those who will pay absolutely more and those who will pay absolutely less and which, once accepted, raises no problem of a separate rule applying only to a minority. Even if progressive taxation does not name the individuals to be taxed at a higher rate, it discriminates by introducing a distinction that aims at shifting the burden from those who determine the rates onto others. In no sense can a progressive scale of taxation be regarded as a general rule applicable equally to all. In no sense can it be said that a tax of 20 percent on one persons income and a tax of 75 percent on the larger income of another person are equal. Progression provides no criterion whatever of what is and what is not to be regarded as just. It indicates no halting point for its application, and the good judgment of the people on which its defenders are usually driven to rely as the only safeguard is nothing more than the current state of opinion shaped by past policy.Q.Which of the following is an effect of the progressive-income tax?

Top Courses for GMATView all

Top Courses for GMAT

The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420?
Question Description
The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420?.
Solutions for The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420? defined & explained in the simplest way possible. Besides giving the explanation of The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420?, a detailed solution for The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420? has been provided alongside types of The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420? theory, EduRev gives you an ample number of questions to practice The first term and the last term of an arithmetic progression are 1 and 20 respectively find the number of term if the sum of all the terms is 420? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam

Top Courses for GMAT

Explore Courses

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup