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The number of the terms of the series 10 9×2/3 9×1/3 9.will amount to 155 is ?
Most Upvoted Answer
The number of the terms of the series 10 9×2/3 9×1/3 9.will amount to ...
Explanation:
Given, the series is 10 9×2/3 9×1/3 9. We need to find the number of terms in the series that will amount to 155.
Formula:
The formula to calculate the sum of a geometric sequence is:
Sn = a(1 - rn) / (1 - r)
Where,
Sn is the sum of the first n terms
a is the first term
r is the common ratio
n is the number of terms
Solution:
Let's first find the common ratio of the series. We can see that each term is obtained by multiplying the previous term by 2/3. Therefore, the common ratio is 2/3.
Now, let's apply the formula to find the sum of the series. We have:
Sn = a(1 - rn) / (1 - r)
Here, a = 10 and r = 2/3. We need to find the value of n that will make Sn = 155.
Substituting the values in the formula, we get:
155 = 10(1 - (2/3)n) / (1 - 2/3)
155(1 - 2/3) = 10(1 - (2/3)n)
93 = 10(1 - (2/3)n)
(2/3)n = 1 - 93/10
(2/3)n = -83/10
As the right-hand side is negative, we can conclude that there is no value of n that will make Sn = 155. Therefore, the answer is that there is no such number of terms that will amount to 155.
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The number of the terms of the series 10 9×2/3 9×1/3 9.will amount to 155 is ?
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The number of the terms of the series 10 9×2/3 9×1/3 9.will amount to 155 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 The number of the terms of the series 10 9×2/3 9×1/3 9.will amount to 155 is ? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of the terms of the series 10 9×2/3 9×1/3 9.will amount to 155 is ?.
The number of the terms of the series 10 9×2/3 9×1/3 9.will amount to 155 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 The number of the terms of the series 10 9×2/3 9×1/3 9.will amount to 155 is ? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of the terms of the series 10 9×2/3 9×1/3 9.will amount to 155 is ?.
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