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What is the fifth term to the geometric sequence 804020?

To find the fifth term of the geometric sequence 8, 0, 4, 0, 20, we need to identify a pattern. The terms appear to alternate between zero and other values, but there might be a misunderstanding since the terms provided don't follow a consistent geometric ratio. Assuming the sequence is correct as given, the fifth term is 20.


What is the common ratio of -1148?

The term "common ratio" typically refers to the ratio between consecutive terms in a geometric sequence. However, -1148 by itself does not provide enough context to determine a common ratio, as it is a single number rather than a sequence. If you have a specific geometric sequence in mind, please provide the terms, and I can help you find the common ratio.


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.


What is the common ratio for the following sequence 12 -14 18 -116?

To find the common ratio of a geometric sequence, we divide each term by its preceding term. However, the sequence provided (12, -14, 18, -116) does not exhibit a consistent ratio, as the ratios between consecutive terms are -14/12, 18/-14, and -116/18, which are not equal. Therefore, this sequence is not geometric and does not have a common ratio.


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


How do you find the next three terms in the sequence -4 -8 -16 -32?

The sequence is a geometric progression where each term is multiplied by -2 to get the next term. Starting with -4, the next terms can be calculated as follows: -4 × -2 = 8, -8 × -2 = 16, and -16 × -2 = 32. Therefore, the next three terms are 64, 128, and 256.


What is the sum of the first six terms of the geometric sequence 1 4 16?

The given geometric sequence is 1, 4, 16, where the first term ( a = 1 ) and the common ratio ( r = 4 ). To find the sum of the first six terms, we calculate the sixth term: ( a_6 = a \cdot r^{5} = 1 \cdot 4^5 = 1024 ). The sum of the first ( n ) terms of a geometric sequence is given by the formula ( S_n = a \frac{r^n - 1}{r - 1} ). Thus, the sum of the first six terms is ( S_6 = 1 \cdot \frac{4^6 - 1}{4 - 1} = \frac{4096 - 1}{3} = \frac{4095}{3} = 1365 ).