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yourmom98
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i am given a set of amounts R(1+i)^(n-1)+R(1+i)^(n-2)+... R(1+i)^1,R and so on it has to do with compound interest.
how do i prove this is a geometric series?
how do i prove this is a geometric series?
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yourmom98 said:i am given a set of amounts R(1+i)^(n-1)+R(1+i)^(n-2)+... R(1+i)^1,R and so on it has to do with compound interest.
how do i prove this is a geometric series?
A geometric series is a sequence of numbers where each term is found by multiplying the previous term by a constant value called the "common ratio".
To show that a sequence of numbers is a geometric series, you must demonstrate that each term is obtained by multiplying the previous term by the same constant value, or common ratio.
The formula for finding the sum of a geometric series is S = a1 * (1 - rn) / (1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms in the series.
Yes, a geometric series can have a negative common ratio. This will result in alternating positive and negative terms in the series.
Some examples of real-life geometric series include compound interest rates, population growth, and the size of a bacteria colony over time.