Series Flashcards
1
Q
sum of n to r=1 of 1 equals
A
n
2
Q
sum of n to r=1 of r is
A
1/2n (n+1)
3
Q
sum of n to r=1 of r^2 is
A
n/6 (2n+1)(n+1)
in formula book
4
Q
sum of n to r=1 of r^3 is
A
n^2/4 (n+1)^2
in formula book
5
Q
If the expression contains brackets what should you do
A
separate into different summations and solve separately
6
Q
What is the method of differences
A
sum of n to r=1 of Un = f(1) - f(n+1)
7
Q
How would you solve a method of differences question
A
- expand the summation
- test a few terms by inputting numbers at the start and end
- cancel like term
- gather final terms together
- simplify
8
Q
What is the mclaurin series
A
f(x) = f(0) + f’(0)x + f’‘(0)/2! ect…
in formula book
9
Q
What are you given for mclaurin taylor series
A
all formulas for e , ln , sin , cos and (1+x)^n
10
Q
A
