The first step is to find the sequence rule. The sequence could be arithmetic. quadratic, geometric, recursively defined or any one of many special sequences. The sequence rule will give you the value of the nth term in terms of its position, n. Then simply substitute the next value of n in the rule.
you must find the pattern of the sequence in order to find the next 50 terms using that pattern and the first part of the sequence given
Well, by definition a "random number sequence" is random; i.e. you cannot find out the next term.However if you're just trying to find the formula for a "number sequence" (not random):1) look at what you have to do to get from one number in the sequence to the next - example the initial difference between the numbers may give a sequence such as "+4, +6, +8, +10", this then gives a sequence of "+2, +2, +2 etc." - this does help to to find out the formula for the sequence.2) write down the "term numbers" (call this "t") above or below the sequance, (i.e. 1st term, 2nd term etc.) and see what you have to do to get from the term number to the sequence number. i.e "3t-1", "t squared minus 3" etc.
Fibonacci sequence
It is a sequence of numbers which is called an arithmetic, or linear, sequence.
From what I know, it is just called "next term in sequence" For a unknown term, just call it the "nth term".
what term is formed by multiplying a term in a sequence by a fixed number to find the next term
you must find the pattern of the sequence in order to find the next 50 terms using that pattern and the first part of the sequence given
Fibonacci sequence
Well, by definition a "random number sequence" is random; i.e. you cannot find out the next term.However if you're just trying to find the formula for a "number sequence" (not random):1) look at what you have to do to get from one number in the sequence to the next - example the initial difference between the numbers may give a sequence such as "+4, +6, +8, +10", this then gives a sequence of "+2, +2, +2 etc." - this does help to to find out the formula for the sequence.2) write down the "term numbers" (call this "t") above or below the sequance, (i.e. 1st term, 2nd term etc.) and see what you have to do to get from the term number to the sequence number. i.e "3t-1", "t squared minus 3" etc.
Fibonacci sequence
It all depends on the sequence you are talking about. For example, the next number in the sequence 0,1,1,2,3,5,8,13,_ would be 21. This would be the Fibonacci sequence as the rule is add the 2 previous terms to get the next term. Another example would be this: 11,121,1331,14641,______.The missing number is 161051, following the pattern of powers of 11, 11^1, 11^2, 11^3 and so on. If you understand what I am trying to say, it all depends on the sequence you are trying to find the number in.
Fibonacci sequence
Fibonacci
A signle number does not define a sequence uniquely and so the next number can be any number that you want it to be.A signle number does not define a sequence uniquely and so the next number can be any number that you want it to be.A signle number does not define a sequence uniquely and so the next number can be any number that you want it to be.A signle number does not define a sequence uniquely and so the next number can be any number that you want it to be.
You cant solve the next term (next number) in this sequence. You need more terms, because this is either a "quadratic sequence", or a "linear and quadratic sequence", and you need more terms than this to solve a "linear and quadratic sequence" and for this particular "quadratic sequence" you would need more terms to solve nth term, which would solve what the next number is. If this is homework, check with your teacher if he wrote the wrong sum.
The next number is 47. Each term is 1 more than double the term before it.
You start with the number 4, then multiply with the "common ratio" to get the next term. That, in turn, is multiplied by the common ratio to get the next term, etc.