Neither.
It could be polynomial (of order 4 or more) or something else.
No, geometric, common ratio 2
It is arithmetic because it is going up by adding 2 to each number.
It is neither. It is a quadratic sequence. Un = (x2 - x + 4)/2 for n = 1, 2, 3, ...
The arithmetic mean is simply (7+21)sqrt(3)/2 = 14sqrt(3) = 24.25 (to 2 d.p.) The geometric mean is sqrt [ 7sqrt(3) x 21sqrt(3) ] = sqrt [ 7 x 21 x 3 ] = sqrt [21 x 21] = 21
It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.
No, geometric, common ratio 2
It is arithmetic because it is going up by adding 2 to each number.
It is neither. It is a quadratic sequence. Un = (x2 - x + 4)/2 for n = 1, 2, 3, ...
The arithmetic mean is simply (7+21)sqrt(3)/2 = 14sqrt(3) = 24.25 (to 2 d.p.) The geometric mean is sqrt [ 7sqrt(3) x 21sqrt(3) ] = sqrt [ 7 x 21 x 3 ] = sqrt [21 x 21] = 21
3mean is the average, so 2 + 4 = 6; 6 / 2 = 3* * * * *The above is the arithmetic mean which is NOT the same thing as the geometric mean.The geometric mean of n non-negative numbers is the nth root of their product.So GM(2, 4) = sqrt(8) = 2.828 (approx).
It is an arithmetic sequence. To differentiate arithmetic from geometric sequences, take any three numbers within the sequence. If the middle number is the average of the two on either side then it is an arithmetic sequence. If the middle number squared is the product of the two on either side then it is a geometric sequence. The sequence 0, 1, 1, 2, 3, 5, 8 and so on is the Fibonacci series, which is an arithmetic sequence, where the next number in the series is the sum of the previous two numbers. Thus F(n) = F(n-1) + F(n-2). Note that the Fibonacci sequence always begins with the two numbers 0 and 1, never 1 and 1.
What is the sum of the first 27 terms of the geometric sequence -3, 3, - 3, 3, . . . ?
arithmetic sequence * * * * * A recursive formula can produce arithmetic, geometric or other sequences. For example, for n = 1, 2, 3, ...: u0 = 2, un = un-1 + 5 is an arithmetic sequence. u0 = 2, un = un-1 * 5 is a geometric sequence. u0 = 0, un = un-1 + n is the sequence of triangular numbers. u0 = 0, un = un-1 + n(n+1)/2 is the sequence of perfect squares. u0 = 1, u1 = 1, un+1 = un-1 + un is the Fibonacci sequence.
Geometric mean of 5 and 15= √(5x15)=√75=5√3
It is neither. (-6) - (-2) = -4 (-18) - (-6) = -12 which is not the same as -4. Therefore it is not an arithmetic progression - which requires the difference between successive terms to be the same. Also -162/-54 = 3 -468/-162 = 2.88... recurring, and that is not the same as 3. Therefore it is not a geometric progression - which requires the ratio of terms to be the same.
6.7082
Of sorts. 1 3 6 10 15 would have a geometric representation, but would not fit the definition of a "geometric sequence". One example of a geometric representation of the sequence would be the number of total bowling pins as you add each row. The first row as 1 pin, the second has 2, then 3,4,5. 1 = 1 + 2 = 3 + 3 = 6 + 4 = 10 + 5 = 15