Sequences And Series Formulas for JEE 2026
33 formulas in Sequences And Series (Maths) How many can you recall?
AGP: sum a + (a+d)r + (a+2d)r^2 + …
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AM–GM for two positive numbers
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Harmonic mean (two numbers)
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AM ≥ GM ≥ HM (two positive numbers)
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AP: nth term
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AP: sum of first n terms
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GP: nth term
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GP: sum of first n terms
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Infinite GP sum
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HP: reciprocals form an AP
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AP general term (nth term)
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Sum of first n terms of an AP
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GP general term (nth term)
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Sum of first n terms of a GP
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Sum to infinity of an infinite GP
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Harmonic progression and HP nth term
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AM–GM inequality (n positive numbers)
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AM, GM, HM for two positive numbers
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Finite arithmetico–geometric series sum
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Sum of first n natural numbers
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Sum of first n squares
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Sum of first n cubes
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Method of differences (polynomial-type general term)
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Telescoping series
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Vₙ method (product-to-ratio for telescoping)
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Inserting n arithmetic means between two numbers
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Inserting n geometric means between two numbers
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Infinite arithmetico–geometric series
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Sum of first n natural numbers
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Sum of squares Σn²
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Sum of cubes Σn³
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Telescoping sums
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Vₙ method (reciprocal products in AP)
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