Class 10 Exam > Class 10 Questions > The sum of 4th term and 8th term of an AP is ...
Start Learning for Free
The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP?
Most Upvoted Answer
The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th...
Solution:
Given:
- Sum of 4th and 8th term of an AP is 24
- Sum of 6th and 10th term is 44
To Find:
- First three terms of AP
Explanation:
Let us assume the first term of the AP is 'a' and the common difference is 'd'. Then the fourth term will be 'a+3d', the sixth term will be 'a+5d', the eighth term will be 'a+7d', and the tenth term will be 'a+9d'.
Equation 1:
- Sum of 4th and 8th term of an AP is 24
(a+3d) + (a+7d) = 24
2a + 10d = 24
a + 5d = 12
Equation 2:
- Sum of 6th and 10th term of an AP is 44
(a+5d) + (a+9d) = 44
2a + 14d = 44
a + 7d = 22
Solving the Equations:
- Subtract Equation 1 from Equation 2
(a+7d) - (a+5d) = 22 - 12
2d = 10
d = 5
- Substitute the value of 'd' in Equation 1 or 2
a + 5(5) = 12 OR a + 7(5) = 22
a = -13 OR a = -3
Answer:
Therefore, the first three terms of the AP can be:
- -13, -8, -3 (when a = -13)
- -3, 2, 7 (when a = -3)
Conclusion:
The first three terms of the AP can be -13, -8, -3 or -3, 2, 7 depending on the value of 'a'.
Community Answer
The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th...
a4+a8=24a6+a10=44thena+3d+a+7d=242a+10d=24. equation no. 1a+5d+a+9d=442a+14d=44. equation no. 2From equation no. 1 & equation no. 2so. a= -13and d= 5 first term (a) =-13second term (a+d)= -8third term (a+2d) = -3
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP?
Question Description
The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? .
The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? .
Solutions for The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? defined & explained in the simplest way possible. Besides giving the explanation of
The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? , a detailed solution for The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? has been provided alongside types of The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? theory, EduRev gives you an
ample number of questions to practice The sum of 4th term and 8th term of an AP is 24 and the sum of the 6th and 10th term is 44. Find the first three terms Of AP? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup