Sigma Notation By Substitution Q4

Sigma Notation By Substitution Q4

Given \(\sum\limits_{r=1}^{N}{\frac{1}{4r^{2}-1}}=\frac{N}{2N+1}\),

deduce an expression for \(\sum\limits_{r=1}^{N}{\frac{1}{(2r+1)(2r+3)}}\).

Video Solution:

Video solution locked

A free account saves your progress; this video needs a course plan.

Create free account Sign in Get the H2 Math course · from S$39.98/mo

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.

Create free account Sign in Get the H2 Math course · from S$39.98/mo H2 Math tuition

Create a free account to practise similar questions.

Create free account Sign in Get the H2 Math course · from S$39.98/mo H2 Math tuition

Answer:\(\frac{N}{3(2N+3)}\)

Need help? Join our JC Math tuition classes.