Sum to Infinite (G.P.): Algebra, Quantitative Reasoning

# Sum to Infinite (G.P.): Algebra, Quantitative Reasoning Video Lecture | CSAT Preparation - UPSC

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## FAQs on Sum to Infinite (G.P.): Algebra, Quantitative Reasoning Video Lecture - CSAT Preparation - UPSC

 1. What is a geometric progression (G.P.)?
Ans. A geometric progression (G.P.) is a sequence of numbers in which each term is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
 2. How do you find the sum to infinity of a geometric progression?
Ans. To find the sum to infinity (S∞) of a geometric progression (G.P.), you need to determine whether the common ratio (r) is between -1 and 1. If it is, you can use the formula S∞ = a / (1 - r), where 'a' is the first term of the G.P.
 3. What happens if the common ratio of a geometric progression is greater than 1?
Ans. If the common ratio (r) of a geometric progression (G.P.) is greater than 1, the G.P. will diverge to infinity. This means there is no finite sum to infinity for such G.P.
 4. Can the sum to infinity of a geometric progression be negative?
Ans. No, the sum to infinity (S∞) of a geometric progression (G.P.) cannot be negative. The sum will either be a positive finite value, zero (if the common ratio is 1), or it will diverge to infinity (if the common ratio is greater than 1).
 5. What is the formula for finding the nth term of a geometric progression?
Ans. The formula for finding the nth term of a geometric progression (G.P.) is given by the formula an = a * r^(n-1), where 'an' represents the nth term, 'a' is the first term, 'r' is the common ratio, and 'n' is the position of the term in the sequence.

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207 videos|156 docs|192 tests
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