Ocegik / Progressions
Progressions Formulas for CAT Preparation
Revise progressions formulas from Ocegik’s formula library, with named identities, expressions and usage notes grouped by topic.
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- 12
- reference topics
- 3
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Read the formulas by topic and check the conditions and usage notes before applying them.
Progressions: formulas by topic
Arithmetic Progression (AP)Progressions
nth termTn = a + (n − 1)da = first term, d = common difference
Sum of n termsSn = n2[2a + (n − 1)d]
Sum of n terms (first & last)Sn = a + l2 × nl = last term
nth term from sumsTn = Sn − Sn−1
Geometric Progression (GP)Progressions
nth termTn = arn−1a = first term, r = common ratio
Sum of n terms, r < 1Sn = a 1 − rn1 − r
Sum of n terms, r > 1Sn = a rn − 1r − 1
Sum to infinityS∞ = a1 − r
Harmonic Progression & MeansProgressions
nth term of HPTn = 1a + (n − 1)d
Harmonic Mean of two numbersHM = 2aba + b
AM–GM–HM inequalityAM ≥ GM ≥ HM
GM as mean of AM & HM(GM)2 = AM × HM
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