Topic 3: Series Flashcards
1
Q
What is the notation used to add multiple terms together at once?
A
Sigma notation
2
Q
What is the formula for the sum of constant terms?
A
n
Σ 1 = n
r=1
3
Q
What is the formula for the sum of the first natural numbers?
A
n
Σ r = 1/2n(n+1)
r=1
4
Q
What is the formula for the sum of the squares of the first natural numbers?
A
n
Σ r² = 1/6n(n+1)(2n+1)
r=1
5
Q
What is the formula for the sum of the cubes of the first natural numbers?
A
n
Σ r³ = 1/6n²(n+1)²
r=1
