JEE Exam > JEE Questions > The three arithmetic mean between – 2 a...
Start Learning for Free
The three arithmetic mean between – 2 and 10 are:
- a)-1, 3 and 7
- b)1, 4 and 7
- c)-1, 3 and 8
- d)2, 5 and 8
Correct answer is 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)...
Most Upvoted Answer
The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)...
Solution:
Arithmetic Mean:
Arithmetic mean is a type of average which is calculated by dividing the sum of a set of numbers by the total number of elements in the set.
Formula for Arithmetic Mean:
Arithmetic Mean = (Sum of the given numbers) / (Total number of elements)
Given:
First number, a = 2
Last number, l = 10
Number of arithmetic means, n = 3
To find:
The three arithmetic means between 2 and 10.
Formula for Arithmetic Mean:
Arithmetic Mean = (Sum of the given numbers) / (Total number of elements)
Calculation:
The common difference of the given series is d.
d = (l - a) / (n + 1)
d = (10 - 2) / (3 + 1)
d = 2
The three arithmetic means between 2 and 10 are:
AM1 = a + d
AM1 = 2 + 2
AM1 = 4
AM2 = a + 2d
AM2 = 2 + 2 × 2
AM2 = 6
AM3 = a + 3d
AM3 = 2 + 3 × 2
AM3 = 8
Therefore, the three arithmetic means between 2 and 10 are 4, 6, and 8.
Hence, the correct option is (B) 1, 4, and 7.
Arithmetic Mean:
Arithmetic mean is a type of average which is calculated by dividing the sum of a set of numbers by the total number of elements in the set.
Formula for Arithmetic Mean:
Arithmetic Mean = (Sum of the given numbers) / (Total number of elements)
Given:
First number, a = 2
Last number, l = 10
Number of arithmetic means, n = 3
To find:
The three arithmetic means between 2 and 10.
Formula for Arithmetic Mean:
Arithmetic Mean = (Sum of the given numbers) / (Total number of elements)
Calculation:
The common difference of the given series is d.
d = (l - a) / (n + 1)
d = (10 - 2) / (3 + 1)
d = 2
The three arithmetic means between 2 and 10 are:
AM1 = a + d
AM1 = 2 + 2
AM1 = 4
AM2 = a + 2d
AM2 = 2 + 2 × 2
AM2 = 6
AM3 = a + 3d
AM3 = 2 + 3 × 2
AM3 = 8
Therefore, the three arithmetic means between 2 and 10 are 4, 6, and 8.
Hence, the correct option is (B) 1, 4, and 7.
Free Test
FREE
| Start Free Test |
Community Answer
The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)...
d= (b-a)/(n+1), here d= (10+2)/4 = 3
Therefore a1= -2+3 = 1, a2= 1+3=4, a3= 4+3=7
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer?
Question Description
The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer?.
The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer?.
Solutions for The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer?, a detailed solution for The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer? has been provided alongside types of The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The three arithmetic mean between – 2 and 10 are:a)-1, 3 and 7b)1, 4 and 7c)-1, 3 and 8d)2, 5 and 8Correct answer is 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© 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