CA Foundation Exam > CA Foundation Questions > If (p+1)th term of A.P is twice the (q+1)th t...
Start Learning for Free
If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is?
Most Upvoted Answer
If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p...
Understanding the Terms of an A.P.
In an Arithmetic Progression (A.P.), the nth term can be expressed as:
- A_n = a + (n - 1)d
Where:
- A_n = nth term
- a = first term
- d = common difference
- n = term number
Given Condition
According to the problem, the (p+1)th term is twice the (q+1)th term:
- A_(p+1) = 2 * A_(q+1)
Substituting the formula for the terms:
- a + pd = 2 * (a + qd)
This can be simplified to find the relationship between p, q, a, and d.
Finding the Required Ratio
To find the ratio of the (p+q+1)th term to the (3p+1)th term:
1. (p+q+1)th Term:
- A_(p+q+1) = a + (p + q)d
2. (3p+1)th Term:
- A_(3p+1) = a + 3pd
Now, calculate the ratio:
- Ratio = A_(p+q+1) / A_(3p+1)
Substituting the values:
- Ratio = (a + (p + q)d) / (a + 3pd)
Conclusion
The relationship established from the initial condition will help simplify this ratio further.
In conclusion, by understanding the terms of an A.P. and applying the given conditions, you can derive the desired ratio effectively.
In an Arithmetic Progression (A.P.), the nth term can be expressed as:
- A_n = a + (n - 1)d
Where:
- A_n = nth term
- a = first term
- d = common difference
- n = term number
Given Condition
According to the problem, the (p+1)th term is twice the (q+1)th term:
- A_(p+1) = 2 * A_(q+1)
Substituting the formula for the terms:
- a + pd = 2 * (a + qd)
This can be simplified to find the relationship between p, q, a, and d.
Finding the Required Ratio
To find the ratio of the (p+q+1)th term to the (3p+1)th term:
1. (p+q+1)th Term:
- A_(p+q+1) = a + (p + q)d
2. (3p+1)th Term:
- A_(3p+1) = a + 3pd
Now, calculate the ratio:
- Ratio = A_(p+q+1) / A_(3p+1)
Substituting the values:
- Ratio = (a + (p + q)d) / (a + 3pd)
Conclusion
The relationship established from the initial condition will help simplify this ratio further.
In conclusion, by understanding the terms of an A.P. and applying the given conditions, you can derive the desired ratio effectively.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is?
Question Description
If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is?.
If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is?.
Solutions for If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is? defined & explained in the simplest way possible. Besides giving the explanation of
If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is?, a detailed solution for If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is? has been provided alongside types of If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is? theory, EduRev gives you an
ample number of questions to practice If (p+1)th term of A.P is twice the (q+1)th term, then the ratio of (p+q+1)th term and (3p+1)th term is? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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