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4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be written as
? Related: Sequence and Series
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4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be wr...
Solution:
Given series: -5, 25, -125, 625, ….
This is a geometric series with first term = -5 and common ratio = -5/25 = -1/5.
The formula for the sum to infinity of a geometric series is given by:
S ∞ = a / (1 - r)
where a is the first term and r is the common ratio.
Using the values of a and r from the given series, we get:
S ∞ = -5 / (1 - (-1/5))
S ∞ = -5 / (6/5)
S ∞ = -25/6
Therefore, the sum to infinity of the given series is -25/6.
Given series: -5, 25, -125, 625, ….
This is a geometric series with first term = -5 and common ratio = -5/25 = -1/5.
The formula for the sum to infinity of a geometric series is given by:
S ∞ = a / (1 - r)
where a is the first term and r is the common ratio.
Using the values of a and r from the given series, we get:
S ∞ = -5 / (1 - (-1/5))
S ∞ = -5 / (6/5)
S ∞ = -25/6
Therefore, the sum to infinity of the given series is -25/6.
Community Answer
4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be wr...
Sn=a/1-r
=-5/1-(-5)
=-5/6
=-5/1-(-5)
=-5/6
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4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be written as Related: Sequence and Series?
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4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be written as Related: Sequence and Series? 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 4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be written as Related: Sequence and Series? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be written as Related: Sequence and Series?.
4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be written as Related: Sequence and Series? 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 4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be written as Related: Sequence and Series? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4. The sum to infinity of the series –5, 25, –125 , 625, ….. can be written as Related: Sequence and Series?.
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