Kit Library / Mathematics / Calculus
⚡ Topic Learning KitSequences & Series
Shared by a Veda learner · Generated with Veda AI
What you'll study, topic by topic
Infinite Sequences and Series
~8 min · full explanation, examples & memory tricks in the app
Try the smart MCQs from this kit
25 questions laddered from warm-up to topper-level, each with an explanation. A taste:
What is the limit of the sequence $a_n = \frac{1}{n}$ as $n \to \infty$?
BeginnerShow answer & explanation
0
As $n$ grows without bound, $\frac{1}{n}$ approaches 0.
Which of the following series is a geometric series?
BeginnerShow answer & explanation
$\sum_{n=1}^{\infty} \frac{1}{2^n}$
A geometric series has the form $\sum ar^{n-1}$. Here $a=1/2$ and $r=1/2$.
The series $\sum_{n=1}^{\infty} \frac{1}{n^p}$ converges if and only if:
IntermediateShow answer & explanation
$p > 1$
This is the $p$-series test: it converges when $p > 1$ and diverges when $p \le 1$.
What is the sum of the geometric series $\sum_{n=0}^{\infty} \left(\frac{1}{3}\right)^n$?
IntermediateShow answer & explanation
$\frac{3}{2}$
For $|r|
Study it properly — free, in the app
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.