Home
Explore
Exams
Search for anything
Login
Get started
Home
Math
Pre-Calculus
Series
Sequences
0.0
(0)
Rate it
Learn
Practice Test
Spaced Repetition
Match
Flashcards
Card Sorting
1/20
Earn XP
Description and Tags
Pre-Calculus
Series
11th
Add tags
Study Analytics
All
Learn
Practice Test
Matching
Spaced Repetition
Name
Mastery
Learn
Test
Matching
Spaced
No study sessions yet.
21 Terms
View all (21)
Star these 21
1
New cards
explicit form
nth term is found using n as the only variable (xn= 2n: 2, 4, 6,…)
2
New cards
recursive form
describes nth term using previous terms (xn= xn-1 + xn-2 for n>= 3 x1= 1 and x2= 1: 1, 1, 2, …)
3
New cards
series
sum of terms of a sequence, sequence has an nth term formula
4
New cards
sigma notation - up
ending term number (not the actual value)
5
New cards
sigma notation - middle
explicit formula for nth term
6
New cards
sigma notation - down
starting term number (first value you plug in for n eg. 1)
7
New cards
arithmetic sequence
add or subtract
8
New cards
arithmetic sequence - recursive formula
an = an-1 + d ( where d is the common difference)
9
New cards
arithmetic sequence - explicit formula
an= a1 + (n-1)d (d is common difference)
10
New cards
sum of arithmetic sequence
(2a1 + (n-1)d) x n/2 or (a1 + an)n/2
11
New cards
geometric sequence
multiply or divide
12
New cards
geometric sequence - recursive formula
gn = gn-1 x r (r is the common ration)
13
New cards
geometric sequence - explicit formula
gn = g1 x r^n-1 (r is the common ration)
14
New cards
sum of terms of geometric sequence
g1(r^n - 1)/ r-1 (if n is infinite than n=0)
15
New cards
financial word problem - n
the number of payments
16
New cards
financial word problem - 1%
the interest by percentage
17
New cards
financial word problem - PV
present value
18
New cards
financial word problem - PMT
periodic payment
19
New cards
financial word problem - FV
future/final value
20
New cards
financial word problem - P/Y and C/Y
payments per year and times per year interest is compounded (same value)
21
New cards
find nth term - calculator
1. Mode
2. SEQ
3. plug in formula
4. use variable buttons