GMAT Exam > GMAT Questions > The first term and the last term of an arithm...
Start Learning for Free
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?
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.
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
|
Explore Courses for GMAT exam
|
|
Top Courses for GMATView all
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 2025 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 2025 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?.
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 2025 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 2025 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
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup