Infinite Series (Grade 12 NSC Matric Mathematics): Flashcards

📚Flashcards
Infinite Series
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Infinite series definition

Sum of unlimited number of terms in a sequence

Convergent series meaning

Series sum approaches a certain value; has a limit

Divergent series meaning

Series that does not converge; usually tends to infinity

Convergence condition for geometric series

−1<r<1-1 < r < 1

Divergence condition for geometric series

r<−1r < -1 or r>1r > 1

Sum to infinity formula (convergent geometric series)

S∞=a1−rS_{\infty} = \frac{a}{1-r} where −1<r<1-1 < r < 1

aa in sum to infinity formula

First term of the series

rr in sum to infinity formula

Common ratio of the series

Behavior of rnr^n as n→∞n \to \infty in convergent series

rnr^n approaches 0

Convergence of arithmetic series

Arithmetic series never converge

Explore Grade 12 NSC Matric Mathematics Revision Notes by Topics

Explore Grade 12 NSC Matric Mathematics Model Answers by Topics

Explore Grade 12 NSC Matric Mathematics Exam Questions by Topics

Join 100,000+ NSC Matric students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.