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Pre-Calculus
Series
11th
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21 Terms
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1
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explicit form
nth term is found using n as the only variable (xn= 2n: 2, 4, 6,…)
2
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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
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series
sum of terms of a sequence, sequence has an nth term formula
4
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sigma notation - up
ending term number (not the actual value)
5
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sigma notation - middle
explicit formula for nth term
6
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sigma notation - down
starting term number (first value you plug in for n eg. 1)
7
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arithmetic sequence
add or subtract
8
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arithmetic sequence - recursive formula
an = an-1 + d ( where d is the common difference)
9
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arithmetic sequence - explicit formula
an= a1 + (n-1)d (d is common difference)
10
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sum of arithmetic sequence
(2a1 + (n-1)d) x n/2 or (a1 + an)n/2
11
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geometric sequence
multiply or divide
12
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geometric sequence - recursive formula
gn = gn-1 x r (r is the common ration)
13
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geometric sequence - explicit formula
gn = g1 x r^n-1 (r is the common ration)
14
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sum of terms of geometric sequence
g1(r^n - 1)/ r-1 (if n is infinite than n=0)
15
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financial word problem - n
the number of payments
16
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financial word problem - 1%
the interest by percentage
17
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financial word problem - PV
present value
18
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financial word problem - PMT
periodic payment
19
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financial word problem - FV
future/final value
20
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financial word problem - P/Y and C/Y
payments per year and times per year interest is compounded (same value)
21
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find nth term - calculator
1. Mode
2. SEQ
3. plug in formula
4. use variable buttons
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