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Math Fundamentals
Sequences & Summations
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Arithmetic & Modulo
0/41
Exponents & Roots
0/49
Logarithms
0/49
Basic Algebra
0/46
Sequences & Summations
0/41
1
Intro
2
What is a Sequence?
3
Sequence Notation
4
Arithmetic Sequences
5
Arithmetic Sequence - Example
6
Quiz: Arithmetic Sequences
7
Geometric Sequences
8
Geometric Sequence - Example
9
Summation Notation
10
Summation - Example
11
Sum of First n Integers
12
Quiz: Sum of Integers
13
Arithmetic Series Formula
14
Geometric Series Formula
15
Geometric Series - Powers of 2
16
Why Nested Loops are O(n^2)
17
Telescoping Sums
18
Telescoping - Example
19
Quiz: Summations
20
Problem - Range Sum Query
21
Range Sum - Prefix Sum Idea
22
Range Sum - Implementation
23
Lessons from Range Sum
24
Problem - Arithmetic Slices
25
Arithmetic Slices - Counting Insight
26
Arithmetic Slices - Algorithm
27
Arithmetic Slices - Implementation
28
Lessons from Arithmetic Slices
29
Problem - Perfect Squares
30
Perfect Squares - DP Insight
31
Perfect Squares - Iterating Squares
32
Perfect Squares - Implementation
33
Lessons from Perfect Squares
34
Common Sum Formulas
35
Summation Properties
36
Quiz: Summation Properties
37
Infinite Geometric Series
38
Practice - Tribonacci Number
39
Practice - Climbing Stairs
40
Practice - Sum of Square Numbers
41
Section Recap
Number Bases
0/41
Bit Manipulation
0/41
Boolean Logic
0/40
Sets
0/41
Counting Principles
0/43
Factorials & Permutations
0/45
Combinations
0/44
Probability Basics
0/62
Divisibility & Primes
0/44
GCD & LCM
0/47
Modular Arithmetic
0/46
Big O Notation
0/49
Geometry Basics
0/45
5.1
Intro
2 minutes
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