Arithmetic
An=A1+(n-1)(d)
D=A2-A1
Addition
Common difference
Geometric
Multiplication
Common ratio
r=A2 / A1
An=A1(r)^n-1
2,12,72,432,2592
r=6
What is the 10th term of the geometric sequence with a first of 884 and a common ratio of 2.
884(2)^10-1
Sum of Arithmetic sequences
n/2 [2a1+ (n-1)d]
Sum15+15/2[2(5)+15-1)-20]
What is the sum of the first 20 arithmetic sequence shown?
d=common difference
Sum(n)=n/2 [2a1+ (n-1)d]
Sum of Geometric sequences
sum(n)= a1(1-r^n)/(1-r)
r≠1
Common ratio a2 / a1
What is the sum of the first 10 terms of the Geometric sequence
Sum10=5(1-5^10) / 1-5
Sum10=12270030
sum∞= a1/ 1-r
|r|<1
Find the sum of the infinite geometric
3072+ 768+ 192+ 48
sum∞= 3072/ 1-0.25
sum∞=4096