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)
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.
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.
An arithmetic 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
It is 58465.
Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5
Three or more terms of a sequence are needed in order to find its nth term.
To find a geometric mean, we multiply all of the terms together and take the nth root of the result (where n is the number of terms we are averaging). With 10 and 6, we find the geometric mean is the square root of 10*6 = 60. Sqrt(60) = 2*sqrt(15).
200, 20, 2, 0.2 Here you have 4 terms. Add them together, and you find the sum of these four terms. If you need to find the sum of some other terms, i.e 8 terms, then you can use the formula Sn = [a1(r^n - 1/(r - 1) where n = 8, a1 = 200, and r = 1/10.
A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.
It is not possible to answer this question without information on whether the terms are of an arithmetic or geometric (or other) progression, and what the starting term is.
-15,19, -27/5, -81/25, ...
They are: 10 and 16
The first step is to find the sequence rule. The sequence could be arithmetic. quadratic, geometric, recursively defined or any one of many special sequences. The sequence rule will give you the value of the nth term in terms of its position, n. Then simply substitute the next value of n in the rule.
Type yourWhich choice is the explicit formula for the following geometric sequence? answer here...
If the Fibonacci sequence is denoted by F(n), where n is the first term in the sequence then the following equation obtains for n = 0.
Just divide any number in the sequence by the next number in the sequence. To be on the safe side, you may want to check in more than one place - if you get the same result in each case, then it is, indeed, a geometric sequence.
tn = t1+(n-1)d -- for arithmetic tn = t1rn-1 -- for geometric
because you add the first 2 terms and the next tern was the the sum of the first 2 terms.
median means to find the middle number of a sequence which is in order
i need it nowww
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, ...
Double it every time and so the next number will be 80