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If the sum of an infinite geometric series is 12 and the common ratio is one third then term 1 is what?
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Eight. (8)
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What is the common ratio in this geometric sequence 3 12 48?
The ratio is 4.
What is the common ratio for the geometric sequence below written as a fraction 768 480 300 187.5?
What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …
What is the common ratio in this geometric sequence 7?
A single number does not constitute a sequence.
What is the 12th term in a geometric sequence that has a first term of 6 and a common ratio of 3?
It is 1062882.
What is the fifth term of the geometric sequence?
It is a*r^4 where a is the first term and r is the common ratio (the ratio between a term and the one before it).
Condition for an infinite geometric series with common ratio to be convergent?
The absolute value of the common ratio is less than 1.
How can you tell if a infinite geometric series has a sum or not?
The geometric series is, itself, a sum of a geometric progression. The sum of an infinite geometric sequence exists if the common ratio has an absolute value which is less than 1, and not if it is 1 or greater.
What is the pattern for a half a quarter and an eighth?
It's a geometric progression with the initial term 1/2 and common ratio 1/2. The infinite sum of the series is 1.
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 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)
A geometric series has first term 4 and its sum to infinity is 5 Find the common ratio?
1/8
Differentiate between arithmetic series and geometric series?
In an arithmetic series, each term is defined by a fixed value added to the previous term. This fixed value (common difference) may be positive or negative.In a geometric series, each term is defined as a fixed multiple of the previous term. This fixed value (common ratio) may be positive or negative.The common difference or common ratio can, technically, be zero but they result in pointless series.
The sum to three terms of geometric series is 9 and its sum to infinity is 8. What could you deduce about the common ratio. Why. Find the first term and common ratio?
The geometric sequence with three terms with a sum of nine and the sum to infinity of 8 is -9,-18, and 36. The first term is -9 and the common ratio is -2.
What is the common ratio of the geometric progression?
The common ratio is the ratio of the nth term (n > 1) to the (n-1)th term. For the progression to be geometric, this ratio must be a non-zero constant.
What is the common ratio in this geometric sequence 3 12 48?
The ratio is 4.
What is the common ratio for the following sequence 648 - 108 - 18 - 3?
The "common ratio" of a geometric series is any of the numbers, divided by the previous number.If in all cases you get the same ratio (the same result of a division), then you have a common ratio. If the division gives you different numbers, then there is no common ratio.
What is the change from one number to the next in a geometric sequence called?
The common ratio.
