Metadata
Mathematics Grade 9-12 Evaluate Hard-
Subject
Mathematics
-
Education level
Grade 9-12
-
Cognitive goals
Evaluate
-
Difficulty estimate
Hard
-
Tags
convergence, absolute convergence, conditional convergence, comparison test, ratio/root test, alternating series
-
Number of questions
5
-
Created on
-
Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
-
License
CC0 Public domain
-
Prompt
Assess students' ability to determine and justify whether infinite series converge absolutely, converge conditionally, or diverge. Problems require selecting and applying appropriate tests—direct and limit comparison, ratio, root, and alternating (Leibniz)—to diverse series (positive-term, alternating, factorial/exponential, p-series) and providing clear, rigorous justifications and conclusions.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.