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Logarithms and Sequences
Different types of logs and sequences.
20
Mathematics
10th Grade
04/09/2011
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Term
What does every positive number have?
 Definition
A unique logarithm with base "b"
Term
log(b)m=
 Definition
log(b)Nif and only M=N
Term
log(b)b^k=
 Definition
k
Term
b^log(b)N=
 Definition
N
Term
log(b)b=
 Definition
1
Term
log(b)1=
 Definition
0
Term
Expanded Form 3^4=81
 Definition
Logarithmic Form log(3)81=4
Term
Expanded Form log(b)MN
 Definition
log(b)M+log(b)N
Term
log(9)X
 Definition
log(b)X/log(b)a
Term
What is the compound interest formula?
 Definition
A=P(1+r/n)^n*t
Term
What is the doubling time growth formula?
 Definition
N=N(0)*2^t/d
Term
What is the halftime formula?
 Definition
N=N(0)*1/2^t/n
Term
What is an arithmetic sequence?
 Definition
2+4+6+8+...
Term
What is a geometric sequence?
 Definition
2+4+8+16+32+...
Term
What is the rule of an arithmetic sequence?
 Definition
t_n=t_1+(n-1)d
Term
What is the rule for a geometric sequence?
 Definition
t_n=t_1*r^n-1
Term
Sum of an arithmetic series formula.
 Definition
Sn=n(t_1+t_n)/2
Term
Sum of a finite geometric formula.
 Definition
Sn=t_1(1-r^n)/1-r
Term
Sum of an infinite geometric sequence.
 Definition
S=t_1/1-r
Term
Can you sum a geometric sequence with a rate of r>1
 Definition
No
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