Geometric Progression (GP)
A sequence of numbers is called a geometric progression if the ratio of any two consecutive terms is always the same. In simple terms, it means that the next number in the series is calculated by multiplying a fixed number by the previous number in the series. This fixed number is called the common ratio. For example, 2,4,8,16 is a GP because the ratio of any two consecutive terms in the series (common difference) is the same (4 / 2 = 8 / 4 = 16 / 8 = 2).
- nth term of a GP = a rn-1
- Geometric Mean = nth root of product of n terms in the GP
- Sum of ‘n’ terms of a GP (r < 1) = [a (1 – rn)] / [1 – r]
- Sum of ‘n’ terms of a GP (r > 1) = [a (rn – 1)] / [r – 1]
- Sum of infinite terms of a GP (r < 1) = (a) / (1 – r)
Progression – Aptitude Questions and Answers
Progression (or Sequences and Series) are mathematical concepts that involve arranging numbers in a particular order based on a repeatable pattern. The topic of Progressions is frequently asked in various competitive exams like SSC, Bank PO, and other government job exams and is a crucial part of Quantitative Aptitude, but it can be mastered with the right formulas and working through some examples.
Practice Quiz: