Infinitely many. For example: Un+1 = Un + 3 or Un+1 = 2*Un - 1 or Un+1 = 3*Un - 5 or, more generally, Un+1 = k*Un + 7 - 4*k where k is any number. Each one of them will be different from the third term onwards. These are linear patterns. There are quadratic and other recursive relationships.
no it is not a recursive pattern because it isn't equal numbers.
Becasue the browser used by this site is unable to display most mathematical notation, this may not be the correct recursive formula, but:if a(1) = 2 and a(n) = 4*a(n-1)^2 then then a(2) = 4*2^2 =4*4 =16 and a(3) = 4*4^2 = 4*16 = 64
Yes
A recursive definition is any definition that uses the thing to be defined as part of the definition. A recursive formula, or function, is a related formula or function. A recursive function uses the function itself in the definition. For example: The factorial function, written n!, is defined as the product of all the numbers, from 1 to the number (in this case "n"). For example, the factorial of 4, written 4!, is equal to 1 x 2 x 3 x 4. This can also be defined as follows: 0! = 1 For any "n" > 0, n! = n x (n-1)! For example, according to this definition, the factorial of 4 is the same as 4 times the factorial of 3. Try it out - apply the recursive formula, until you get to the base case. Note that a base case is necessary; otherwise, the recursion would never end.
there are 4 different ways you can do it
8/4/2=1
Infinitely many. For example: Un+1 = Un + 3 or Un+1 = 2*Un - 1 or Un+1 = 3*Un - 5 or, more generally, Un+1 = k*Un + 7 - 4*k where k is any number. Each one of them will be different from the third term onwards. These are linear patterns. There are quadratic and other recursive relationships.
no it is not recursive
It look like a Fibonacci sequence seeded by t1 = 2 and t2 = 1. After that the recursive formula is simply tn+1 = tn-1 + tn.
no it is not a recursive pattern because it isn't equal numbers.
t(1) = 3 t(n) = t(n-1) + 2(n-2) for n = 2, 3, 4, ...
x_n+1 = x_n / 4
t(n+1) = t(n) + 6 t(1) = -14
Becasue the browser used by this site is unable to display most mathematical notation, this may not be the correct recursive formula, but:if a(1) = 2 and a(n) = 4*a(n-1)^2 then then a(2) = 4*2^2 =4*4 =16 and a(3) = 4*4^2 = 4*16 = 64
Yes
4, -1236, -108 is not a geometric system.