Math Problem Statement
ΔT(n)=2/n(n+1)−1
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Partial Fractions
Algebra
Series Simplification
Formulas
Partial fraction decomposition: 2/n(n+1) = A/n + B/(n+1)
Substitution: ΔT(n) = (2/n - 2/(n+1)) - 1
Theorems
Partial Fraction Decomposition
Suitable Grade Level
Grades 11-12
Related Recommendation
Evaluating ΔT(n) = 2/n(n + 1) − 1 for Large n (n = 114514)
Solving ΔT(n) = 2/n(n+1) − 1 for n = 1024
Finding Constant C in Summation Using Partial Fractions and Telescoping Series
Demonstrating Series as a Fraction of Odd over Even Numbers Using Telescoping and Partial Fractions
Solve the Series with General Term (2n + 3) ÷ (n(n+1)(n+2))