Class 10 Exam > Class 10 Questions > The first three terms of an AP are 3y-1,3y+5a...
Start Learning for Free
The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y
Verified Answer
The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find...
In AP : Difference b/w successive terms=constant
Therefore,3y+5-(3y-1)=5y+1-(3y+5)
3y+5-3y+1=5y+1-3y-5
6=2y-4
10=2y
Therefore,y=5
This question is part of UPSC exam. View all Class 10 courses
Most Upvoted Answer
The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find...
Community Answer
The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find...
Given:
The first three terms of an arithmetic progression (AP) are 3y-1, 3y+5, and 5y+1.
To find:
The value of y.
Solution:
To find the value of y, we can use the property of an arithmetic progression where the difference between consecutive terms is constant.
Step 1: Find the common difference (d)
The common difference (d) can be found by subtracting the second term from the first term, or the third term from the second term.
Using the first two terms:
d = (3y+5) - (3y-1)
= 3y + 5 - 3y + 1
= 6
Step 2: Write the general form of the AP
The general form of an arithmetic progression is given by:
a + (n-1)d
where a is the first term, n is the position of the term, and d is the common difference.
Step 3: Find the first term (a)
From the given information, the first term is 3y-1.
Step 4: Find the second and third terms
The second term is given as 3y+5.
The third term is given as 5y+1.
Step 5: Substitute the values into the general form
Using the first term, common difference, and position of the second term:
3y-1 + (2)(6) = 3y+5
Simplifying the equation:
3y-1 + 12 = 3y+5
3y + 11 = 3y + 5
Subtracting 3y from both sides of the equation:
11 = 5
This is a contradiction, so there is no specific value of y that satisfies the given information.
Conclusion:
There is no value of y that satisfies the given information. The terms 3y-1, 3y+5, and 5y+1 do not form an arithmetic progression.
The first three terms of an arithmetic progression (AP) are 3y-1, 3y+5, and 5y+1.
To find:
The value of y.
Solution:
To find the value of y, we can use the property of an arithmetic progression where the difference between consecutive terms is constant.
Step 1: Find the common difference (d)
The common difference (d) can be found by subtracting the second term from the first term, or the third term from the second term.
Using the first two terms:
d = (3y+5) - (3y-1)
= 3y + 5 - 3y + 1
= 6
Step 2: Write the general form of the AP
The general form of an arithmetic progression is given by:
a + (n-1)d
where a is the first term, n is the position of the term, and d is the common difference.
Step 3: Find the first term (a)
From the given information, the first term is 3y-1.
Step 4: Find the second and third terms
The second term is given as 3y+5.
The third term is given as 5y+1.
Step 5: Substitute the values into the general form
Using the first term, common difference, and position of the second term:
3y-1 + (2)(6) = 3y+5
Simplifying the equation:
3y-1 + 12 = 3y+5
3y + 11 = 3y + 5
Subtracting 3y from both sides of the equation:
11 = 5
This is a contradiction, so there is no specific value of y that satisfies the given information.
Conclusion:
There is no value of y that satisfies the given information. The terms 3y-1, 3y+5, and 5y+1 do not form an arithmetic progression.
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 first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10
Question Description
The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10 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 first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10 covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10.
The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10 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 first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10 covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10.
Solutions for The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10 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 first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10 defined & explained in the simplest way possible. Besides giving the explanation of
The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10, a detailed solution for The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10 has been provided alongside types of The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10 theory, EduRev gives you an
ample number of questions to practice The first three terms of an AP are 3y-1,3y+5and 5y+1 respectively.find the value of y Related: Introduction - Arithmetic Progression (Hindi) , Maths, Class 10 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