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What is the formula to find the sum of a geometric sequence?

The formula to find the sum of a geometric sequence is adding a + ar + ar2 + ar3 + ar4. The sum, to n terms, is given byS(n) = a*(1 - r^n)/(1 - r) or, equivalently, a*(r^n - 1)/(r - 1)


Find the 10th term of the geometric sequence 10,-20,40…?

-5,120


How do you find the 99th nth term in a geometric sequence?

The 99th term would be a times r to the 98th power ,where a is the first term and r is the common ratio of the terms.


Find the explicit formula for the sequence?

The explicit formula for a sequence is a formula that allows you to find the nth term of the sequence directly without having to find all the preceding terms. To find the explicit formula for a sequence, you need to identify the pattern or rule that governs the sequence. This can involve looking at the differences between consecutive terms, the ratios of consecutive terms, or any other mathematical relationship that exists within the sequence. Once you have identified the pattern, you can use it to create a formula that will generate any term in the sequence based on its position (n) in the sequence.


In a geometric sequence the ratio between consecutive terms is .?

Well, well, well, look who's getting fancy with geometric sequences! When the ratio between consecutive terms is "r," each term is found by multiplying the previous term by "r." So, in simpler terms, if you have a sequence like 2, 4, 8, 16, the ratio between consecutive terms is 2. Math can be sassy too, honey!


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 geometric sequence?

a = -4 r = -3


What is it where you find terms by adding the common difference to the previous terms?

An arithmetic sequence.


Can you find the sum of the terms in an infinite sequence?

yup


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


How do you find the next 50nth term in a sequence?

you must find the pattern of the sequence in order to find the next 50 terms using that pattern and the first part of the sequence given


New series is created by adding corresponding terms of an arithmetic and geometric series If the third and sixth terms of the arithmetic and geometric series are 26 and 702 find for the new series S10?

It is 58465.