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The sum of the series The sum of the series to 1 - v3 .to 18 terms is?
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The sum of the series The sum of the series to 1 - v3 .to 18 terms is...
Sum of the Series to 1 - v3 to 18 terms
To find the sum of the series 1 - v3 to 18 terms, we need to use the formula for the sum of an arithmetic series.
Formula:
The sum of an arithmetic series is given by S = n/2(a + l), where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.
First Term:
The first term of the series is 1.
Last Term:
The last term of the series can be found by using the formula for the nth term of an arithmetic series. The formula is given by tn = a + (n - 1)d, where tn is the nth term, d is the common difference and a is the first term.
In this series, the common difference is -v3. So, the last term can be found as follows:
t18 = 1 + (18-1)(-v3) = 1 - 17v3
Number of Terms:
The number of terms is 18.
Substituting Values:
Substituting the values in the formula, we get:
S = 18/2(1 + 1 - 17v3) = 9(2 - 17v3)
Therefore, the sum of the series 1 - v3 to 18 terms is 9(2 - 17v3)
To find the sum of the series 1 - v3 to 18 terms, we need to use the formula for the sum of an arithmetic series.
Formula:
The sum of an arithmetic series is given by S = n/2(a + l), where S is the sum of the series, n is the number of terms, a is the first term, and l is the last term.
First Term:
The first term of the series is 1.
Last Term:
The last term of the series can be found by using the formula for the nth term of an arithmetic series. The formula is given by tn = a + (n - 1)d, where tn is the nth term, d is the common difference and a is the first term.
In this series, the common difference is -v3. So, the last term can be found as follows:
t18 = 1 + (18-1)(-v3) = 1 - 17v3
Number of Terms:
The number of terms is 18.
Substituting Values:
Substituting the values in the formula, we get:
S = 18/2(1 + 1 - 17v3) = 9(2 - 17v3)
Therefore, the sum of the series 1 - v3 to 18 terms is 9(2 - 17v3)
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The sum of the series The sum of the series to 1 - v3 .to 18 terms is?
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The sum of the series The sum of the series to 1 - v3 .to 18 terms is? 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 sum of the series The sum of the series to 1 - v3 .to 18 terms is? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the series The sum of the series to 1 - v3 .to 18 terms is?.
The sum of the series The sum of the series to 1 - v3 .to 18 terms is? 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 sum of the series The sum of the series to 1 - v3 .to 18 terms is? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the series The sum of the series to 1 - v3 .to 18 terms is?.
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