- #1
Vince604
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Homework Statement
How many terms are in each sequence?
12, 4, 4/3, ..., 4/729
Homework Equations
The Attempt at a Solution
using tn=t1(r)(n-1) ? I am lost
Vince604 said:Homework Statement
How many terms are in each sequence?
12, 4, 4/3, ..., 4/729
Homework Equations
The Attempt at a Solution
using tn=t1(r)(n-1) ? I am lost
An infinite geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant number. For example, the sequence 2, 6, 18, 54, ... is an infinite geometric sequence with a common ratio of 3.
To find the number of terms in an infinite geometric sequence, you can use the formula n = 1/(1-r), where n is the number of terms and r is the common ratio. This formula only works if the absolute value of the common ratio is less than 1.
A finite geometric sequence has a specific number of terms, while an infinite geometric sequence has an unlimited number of terms. In other words, a finite geometric sequence has an end point, while an infinite geometric sequence does not.
No, an infinite geometric sequence can only have a common ratio between -1 and 1. If the common ratio is greater than 1, the sequence will increase without bound and not have a finite number of terms.
An infinite geometric sequence can be used to model exponential growth or decay in real-life situations, such as population growth or the depreciation of an asset. It can also be used in finance to calculate compound interest.