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Chapter 16 of 27
Formula Sheet

Sequences And SeriesFormula Sheet

NATA · Mathematics

All important formulas from Sequences And Series for NATA Mathematics. Quick reference for revision and problem solving.

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Illustrates the definition of a sequence as an ordered collection of objects, showing how terms are indexed by natural numbers and providing simple examples.
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Formula Sheet — Sequences And Series

Important formulas and equations from Sequences And Series for NATA Mathematics.

Formulas — Sequences And Series

Basic Definitions and Types

Arithmetic Progression (AP)

aₙ = a + (n-1)d
Sₙ = n/2[2a + (n-1)d]
Sₙ = n/2(a + l)
A = (a + b)/2

Geometric Progression (GP)

aₙ = arⁿ⁻¹
Sₙ = a(rⁿ-1)/(r-1), r≠1
Sₙ = a(1-rⁿ)/(1-r), r≠1
S∞ = a/(1-r)
G = √(ab)

Special Series Formulas

Σk = n(n+1)/2
Σk² = n(n+1)(2n+1)/6
Σk³ = [n(n+1)/2]²

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Frequently Asked Questions

What topics are covered in Sequences And Series for NATA?
Sequences And Series is an important chapter in NATA Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Basic Concepts - Sequences and Series, Arithmetic Progression (A.P.), Geometric Progression (G.P.), Relationship Between A.M. and G.M..
How important is Sequences And Series for NATA?
Sequences And Series is a frequently tested chapter in NATA Mathematics. Questions from this chapter appear regularly in previous year papers. There are 283 practice questions available for this chapter.
How to prepare Sequences And Series for NATA?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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Practice questions, revision notes, formula sheet and AI doubt-solver for NATA Mathematics.