SSC CGL Exam > SSC CGL Videos > Quantitative Aptitude for SSC CGL > Introduction: Geometric Progressions
Introduction: Geometric Progressions Video Lecture | Quantitative Aptitude for SSC CGL
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FAQs on Introduction: Geometric Progressions Video Lecture - Quantitative Aptitude for SSC CGL
| 1. What is a geometric progression? |  |
| 2. How do you find the nth term of a geometric progression? | |
Ans. To find the nth term of a geometric progression, you can use the formula: $a_n = a_1 \times r^{(n-1)}$, where $a_n$ represents the nth term, $a_1$ is the first term, r is the common ratio, and n is the term number.
| 3. What is the sum of a geometric progression? | |
Ans. The sum of a geometric progression can be calculated using the formula: $S_n = \frac{a_1 \times (1 - r^n)}{1 - r}$, where $S_n$ represents the sum of the first n terms, $a_1$ is the first term, r is the common ratio, and n is the number of terms.
| 4. How do you determine if a sequence is a geometric progression? | |
Ans. To determine if a sequence is a geometric progression, you need to check if the ratio between consecutive terms is constant. If the ratio remains the same for every pair of consecutive terms, then the sequence is a geometric progression.
| 5. What are some real-life applications of geometric progressions? | |
Ans. Geometric progressions are commonly used in finance to calculate compound interest, population growth, and depreciation of assets. They are also used in physics to describe exponential decay or growth, and in computer science for algorithms and data structures.
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