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 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
To find the 6th term of a geometric sequence, you need the first term and the common ratio. The formula for the nth term in a geometric sequence is given by ( a_n = a_1 \cdot r^{(n-1)} ), where ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the term number. Please provide the first term and common ratio so I can calculate the 6th term for you.
nth term Tn = arn-1 a = first term r = common factor
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.
To express a geometric sequence in function notation, identify the first term (a) and the common ratio (r) of the sequence. The nth term of a geometric sequence can be represented as ( f(n) = a \cdot r^{(n-1)} ), where ( n ) is the term number. For example, if the first term is 2 and the common ratio is 3, the function notation would be ( f(n) = 2 \cdot 3^{(n-1)} ). This allows you to calculate any term in the sequence using the function ( f(n) ).
The given sequence is a geometric sequence where each term is multiplied by 2 to get the next term. The first term (a) is 4, and the common ratio (r) is 2. The nth term of a geometric sequence can be found using the formula ( a_n = a \cdot r^{(n-1)} ). Therefore, the nth term of this sequence is ( 4 \cdot 2^{(n-1)} ).
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.
2946
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
Yes, it can.