Hi! This is Phoebe and today we we learned about Geometric Sequence
Geometric Sequence.
Sequence
- is a function whose domain is set of consecutive positive intergers adn whose raance is an element of real numbers.
- It is also formed by a following rule, formula, pattern or equation
- It can be either finite or infinite
- Contains a limited number of elements in the domain. (This means it has an ending and a beginning)
- Contains and unlimited number of elements in the domain. (As a beginning but is never ending)
- A sequence in which each term, after the first, is found by multiplying previous term by a common ratio r.
- For me the main difference between Arithmetic Sequences and Geometric Sequences is that Arithmetic is more on Addition while Geometric is more on multiplication
- Common ration: r = t2/t1
ex. 6, 36, 216, 1296
36/6 = 6
- To find specific term use: tn = t1 x r^n-1
find the 12th term
t^12 = 6 x 6^12-1
t^12 = 6 x 6^11
t^12 = 2,176, 782, 336
- To find one geometric mean use: ± √t1 x t3
find the Geometric mean
± √6 x 216
± 36
- To find more than one geometric mean use tn = t1 x r^n-1 to find the common ratio and then multiply to find the missing term
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