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Q: How do you find the first term of a geometric 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)


A geometric series has first term 4 and its sum to infinity is 5 Find the common ratio?

1/8


A geometric progression has a common ratio -1/2 and the sum of its first 3 terms is 18. Find the sum to infinity?

The sum to infinity of a geometric series is given by the formula Sāˆž=a1/(1-r), where a1 is the first term in the series and r is found by dividing any term by the term immediately before it.


The fourth term of a geometric sequence is -64 the product of the first and third term is 16?

the series can be 1,-4,16,-64


How do you find the ratio in the geometric progression?

Divide any term, except the first, by the term before it.


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 an equal in geometric series?

Geometric series may be defined in terms of the common ratio, r, and either the zeroth term, a(0), or the first term, a(1).Accordingly,a(n) = a(0) * r^n ora(n) = a(1) * r^(n-1)


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.


How do you find the given term in a geometric sequence?

nth term Tn = arn-1 a = first term r = common factor


What is the 7th term in the geometric sequence whose first term is 5 and the common ratio is -2?

Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5


What does summation of infinite series?

The summation of a geometric series to infinity is equal to a/1-rwhere a is equal to the first term and r is equal to the common difference between the terms.


What is the formula for the geometric progression with the first 3 terms 4 2 1?

The nth term of the series is [ 4/2(n-1) ].