What does “Infinite geometric series” actually mean in Sequences & Series, and why does it matter for JEE?
an infinite GP has a finite sum a/(1−r) only when |r| < 1.
In simple words: an infinite GP has a finite sum a/(1−r) only when |r| < 1. Getting Infinite geometric series clear matters because JEE questions on Sequences & Series usually test this idea directly, not just a formula you memorised.
Key point
Infinite geometric series
Common mistake
applying the sum formula when |r| ≥ 1.
Memory tip
if the terms don't shrink (|r|≥1), the series diverges — no finite sum.
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