ok so we start school again tomorrow :/..ohh well im not looking forward to it but at least all we gotta do is read a bit. so i mainly remember the sequences which are arithmetic and geometric.
Arithmetic - where you add or subtract
Geometric - where you multiply
(*Note: division is considered Geometric. For example: If a sequence divides by three, it is considered to be multiplied by one-third.
ok so thats all i really rmember and i need help on solving some of these problems
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okay so here are the formulas that you have to remember to solve these kinds of problems:
ReplyDeleteArithmetic:
tn-t'+(n-1)d
n=term #
t'=first term
d=what you add
tn=term#_in sequence
Geometric
tn=t'∙r^(n-1)
r= what you multiply by
here is some examples:
In the arithmetic sequence:3,5,7,9-- find the 28th term.
t28=3+(27)(2)
t28=3+54
t28=57
In the geometric sequence: 2,4,8,16-- find the 10th term
t10= 2*2^9
t10= 2*512
t10= 1024
1. sequence-list of numbers
ReplyDelete2. two main types: 1). arithmetic-add or subtract 2).geometric-multiply
Formulas:
1. arithmetic-used to find a term: tn . t1 + (n-1)d
**n=term #, t1=first term, d=what you add, tn=term #
2. geometric: tn=t1 . r^(n-1)
**r=what you multiply by..
Examples:
1. Find the formula for the nth term of the arithmetic sequence: 3,5,7,...
tn = 3 + (n-1) (2)
tn = 3 +2n - 2
tn = 1 + 2
2. Find the formula for the nth term of the sequence: 3,4.5,6.75,..
**divide the 2nd term by the 1st term to find r
4.5/3 = 3/2 = r
tn = 3 . (3/2)^(n-1)