Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5
2946
1240
A sequence is geometric if each term is found by mutiplying the previous term by a certain number (known as the common ratio). 2,4,8,16, --> here the common ratio is 2.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.
-5,120
Yes, that's what a geometric sequence is about.
Find the 7th term of the geometric sequence whose common ratio is 1/2 and whose first turn is 5
nth term Tn = arn-1 a = first term r = common factor
2946
The formula used to find the 99th term in a sequence is a^n = a^1 + (n-1)d. a^1 is the first term, n is the term number we wish to find, and d is the common difference. In order to find d, the pattern in the sequence must be determined. If the sequence begins 1,4,7,10..., then d=3 because there is a difference of 3 between each number. d can be quite simple or more complicated as it can be a function or formula in of itself. However, in the example, a^1=1, n=99, and d=3. The formula then reads a^99 = 1 + (99-1)3. Therefore, a^99 = 295.
Yes, it can.
1240
A sequence is geometric if each term is found by mutiplying the previous term by a certain number (known as the common ratio). 2,4,8,16, --> here the common ratio is 2.
The sequence seems to be calculated by f(n) = 3n + 2.3(1) + 2 = 5, 3(2) + 2 = 8, 3(3) + 2 = 11, and so on.Therefore, the 99th term would be 3(99) + 2 = 299
You mean what IS a geometric sequence? It's when the ratio of the terms is constant, meaning: 1, 2, 4, 8, 16... The ratio of one term to the term directly following it is always 1:2, or .5. So like, instead of an arithmetic sequence, where you're adding a specific amount each time, in a geometric sequence, you're multiplying by that term.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 10.