CA Foundation Exam > CA Foundation Questions > The number of terms of the series needed for ...
Start Learning for Free
The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zero
- a)22
- b)21
- c)20
- d)None
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The number of terms of the series needed for the sum of the series 50+...
Free Test
FREE
| Start Free Test |
Community Answer
The number of terms of the series needed for the sum of the series 50+...
Given series is 50, 45, 40, ...
We need to find the number of terms required to make the sum zero.
Let the number of terms required be n.
Sum of n terms is given by:
S = n/2 [2a + (n-1)d]
where a is the first term, d is the common difference.
Here, a = 50, d = -5
So, S = n/2 [2(50) + (n-1)(-5)]
Simplifying the above expression, we get:
S = n/2 [100 - 5(n-1)]
S = n/2 [105 - 5n]
We need to find the value of n for which S becomes zero.
So, n/2 [105 - 5n] = 0
n(105 - 5n) = 0
n = 0 or n = 21
Since the number of terms cannot be zero, the required number of terms is 21.
Therefore, option B is the correct answer.
We need to find the number of terms required to make the sum zero.
Let the number of terms required be n.
Sum of n terms is given by:
S = n/2 [2a + (n-1)d]
where a is the first term, d is the common difference.
Here, a = 50, d = -5
So, S = n/2 [2(50) + (n-1)(-5)]
Simplifying the above expression, we get:
S = n/2 [100 - 5(n-1)]
S = n/2 [105 - 5n]
We need to find the value of n for which S becomes zero.
So, n/2 [105 - 5n] = 0
n(105 - 5n) = 0
n = 0 or n = 21
Since the number of terms cannot be zero, the required number of terms is 21.
Therefore, option B is the correct answer.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer?
Question Description
The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer?.
The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer? 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 The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The number of terms of the series needed for the sum of the series 50+45+40+….. becomes zeroa)22b)21c)20d)NoneCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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