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A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ?
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A straight line segment is 36 cm long. points are to be marked on the ...
Calculation of Points on the Line Segment
To find the number of points on the line segment, we need to determine the pattern in which the points are marked.
Pattern of Point Marking:
According to the given conditions, the points are marked on the line segment in a specific pattern:
- The first point is marked at a distance of 1 cm from each end.
- The second point is marked at a distance of 2 cm from the first point.
- The third point is marked at a distance of 3 cm from the second point.
- This pattern continues, with each subsequent point being marked at a distance that is 1 cm more than the previous point.
Calculating the Number of Points:
To calculate the number of points, we can use the formula for the sum of an arithmetic series:
Sn = (n/2) * (a + l)
where Sn is the sum of the series, n is the number of terms, a is the first term, and l is the last term.
In this case, the first term is 1 cm and the common difference is 1 cm. We need to find the value of the last term.
The last term can be calculated using the formula for the nth term of an arithmetic series:
an = a + (n-1)d
where an is the nth term, a is the first term, n is the number of terms, and d is the common difference.
In this case, the first term is 1 cm, the common difference is 1 cm, and the length of the line segment is 36 cm. We need to find the value of n.
Using the formula for the last term, we can calculate the value of n:
36 = 1 + (n-1)*1
35 = (n-1)*1
35 = n-1
n = 36
Therefore, the value of n is 36.
Calculating the Number of Points:
Using the formula for the sum of an arithmetic series, we can calculate the number of points:
Sn = (n/2) * (a + l)
Sn = (36/2) * (1 + 36)
Sn = 18 * 37
Sn = 666
Therefore, there are 666 points on the line segment when the points on the ends are not counted and the common points are counted as one.
To find the number of points on the line segment, we need to determine the pattern in which the points are marked.
Pattern of Point Marking:
According to the given conditions, the points are marked on the line segment in a specific pattern:
- The first point is marked at a distance of 1 cm from each end.
- The second point is marked at a distance of 2 cm from the first point.
- The third point is marked at a distance of 3 cm from the second point.
- This pattern continues, with each subsequent point being marked at a distance that is 1 cm more than the previous point.
Calculating the Number of Points:
To calculate the number of points, we can use the formula for the sum of an arithmetic series:
Sn = (n/2) * (a + l)
where Sn is the sum of the series, n is the number of terms, a is the first term, and l is the last term.
In this case, the first term is 1 cm and the common difference is 1 cm. We need to find the value of the last term.
The last term can be calculated using the formula for the nth term of an arithmetic series:
an = a + (n-1)d
where an is the nth term, a is the first term, n is the number of terms, and d is the common difference.
In this case, the first term is 1 cm, the common difference is 1 cm, and the length of the line segment is 36 cm. We need to find the value of n.
Using the formula for the last term, we can calculate the value of n:
36 = 1 + (n-1)*1
35 = (n-1)*1
35 = n-1
n = 36
Therefore, the value of n is 36.
Calculating the Number of Points:
Using the formula for the sum of an arithmetic series, we can calculate the number of points:
Sn = (n/2) * (a + l)
Sn = (36/2) * (1 + 36)
Sn = 18 * 37
Sn = 666
Therefore, there are 666 points on the line segment when the points on the ends are not counted and the common points are counted as one.
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A straight line segment is 36 cm long. points are to be marked on the ...
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A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ?
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A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ?.
A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ?.
Solutions for A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ? in English & in Hindi are available as part of our courses for UPSC.
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A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ?, a detailed solution for A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ? has been provided alongside types of A straight line segment is 36 cm long. points are to be marked on the line from both the end points. for each end , the first point is at distance of 1 cm from the end , the second point is at the distamce of 2 cm from the first point , and the third is at distance of 3 cm from the second point and so on . if the points on the end are not counted and the common points are counted as one , what is the number of points ? theory, EduRev gives you an
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