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.
Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5
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)
-5,120
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 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.
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.
a = -4 r = -3
An arithmetic sequence.
yup
Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5
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.
It is 58465.
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