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Earn +20 ptsQ: How do you solve geometric sequence and series?
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What does Geometric Series represent?
A geometric series represents the partial sums of a geometric sequence. The nth term in a geometric series with first term a and common ratio r is:T(n) = a(1 - r^n)/(1 - r)
Is the sum of two geometric sequence a geometric sequence?
No.
How do you find the common ratio in a geometric sequence?
Divide any term in the sequence by the previous term. That is the common ratio of a geometric series. If the series is defined in the form of a recurrence relationship, it is even simpler. For a geometric series with common ratio r, the recurrence relation is Un+1 = r*Un for n = 1, 2, 3, ...
What is a shifted geometric sequence?
a sequence of shifted geometric numbers
Descending geometric sequence?
A descending geometric sequence is a sequence in which the ratio between successive terms is a positive constant which is less than 1.
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