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The sum to infinity of the series -5,-25,-125,625_____can be written as?
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The sum to infinity of the series -5,-25,-125,625_____can be written a...
Solution:
To find the sum to infinity of the given series, we need to first check if the series is a geometric progression or not.
Therefore, the sum to infinity of the given series is -5/6.
To find the sum to infinity of the given series, we need to first check if the series is a geometric progression or not.
- Geometric Progression: A sequence of numbers is said to be a geometric progression if there is a common ratio between any two consecutive terms.
- Let's check if the given series is a geometric progression or not:
- Common Ratio = Next Term/Current Term
- -25/-5 = 5
- -125/-25 = 5
- 625/-125 = -5
- Since the common ratio is the same (-5 or 5) for all consecutive terms, the given series is a geometric progression.
- Formula for the sum to infinity of a geometric progression: S∞ = a/(1-r)
- Where, a = first term of the series and r = common ratio
- For the given series, a = -5 and r = -5 (or 5)
- Substituting the values in the formula, we get:
- S∞ = -5/(1-(-5)) or S∞ = -5/(1+5)
- S∞ = -5/6
Therefore, the sum to infinity of the given series is -5/6.
Community Answer
The sum to infinity of the series -5,-25,-125,625_____can be written a...
3125
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The sum to infinity of the series -5,-25,-125,625_____can be written as?
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The sum to infinity of the series -5,-25,-125,625_____can be written as? 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 sum to infinity of the series -5,-25,-125,625_____can be written as? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum to infinity of the series -5,-25,-125,625_____can be written as?.
The sum to infinity of the series -5,-25,-125,625_____can be written as? 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 sum to infinity of the series -5,-25,-125,625_____can be written as? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum to infinity of the series -5,-25,-125,625_____can be written as?.
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