-5,120
It is 4374
a = -4 r = -3
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)
It is 0.2
nth term Tn = arn-1 a = first term r = common factor
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, ...
by the general formula ,a+(n-1)*d * * * * * That assumes that it is an arithmetic sequence. The sequence cound by geometric ( t(n) = a*rn ) or power ( t(n) = n2 ) or something else.
This is a geometric sequence. Each number is multiplied by the same constant, to get the next number. If you divide any number by the previous one, you can find out what this constant is.
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 ratio can be found by dividing any (except the first) number by the one before it.
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.