Notifications Mark All Read. A series of number is termed to be in arithmetic progression when the difference between two consecutive numbers remain the same. It also means that the next number can be obtained by adding or subtracting the constant number to the previous in the sequence. Therefore, this constant number is known as the common difference d.

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Notifications Mark All Read. A series of number is termed to be in arithmetic progression when the difference between two consecutive numbers remain the same. It also means that the next number can be obtained by adding or subtracting the constant number to the previous in the sequence.

Therefore, this constant number is known as the common difference d. For example, 3, 6, 9, 12 is an AP as the difference between two consecutive terms is three which is fixed.

If the ratio of any two successive terms is invariably similar, then the sequence is termed a geometric progression. Naturally, it can be defined as a series in which the next number in the series can be obtained by multiplying a constant to the previous number in the series.

Therefore, this fixed term is known as the common ratio. Quantities are termed as GP if they tend to increase and decrease by a common factor.

For example, 2, 4, 8, 16 can be a GP because the ratio between two consecutive numbers is same, i. Harmonic progression is the series when the reciprocal of the terms are in AP. Toggle navigation. P and H. P A series of number is termed to be in arithmetic progression when the difference between two consecutive numbers remain the same.

Formulas of Arithmetic Progressions A. Definition of Geometric Progression G. P If the ratio of any two successive terms is invariably similar, then the sequence is termed a geometric progression. Formulas of Geometric Progression G. Definition of Harmonic Progression H. P Harmonic progression is the series when the reciprocal of the terms are in AP. Formulas of Harmonic Progression H. Log in to Reply. Hozaifa Bin Imtiyaz awesome. PrepInsta Instagram. Link to.

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Progressions or Sequences and Series are numbers arranged in a particular order such that they form a predictable order. By predictable order, we mean that given some numbers, we can find next numbers in the series. A sequence of numbers is called an arithmetic progression if the difference between any two consecutive terms is always same. In simple terms, it means that next number in the series is calculated by adding a fixed number to the previous number in the series. This fixed number is called the common difference.

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## Arithmetic Progression (AP) Geometric (GP) and Harmonic Progression (HP): CAT Quantitative Aptitude

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