Those are the first four prime numbers.
The rule for the sequence is an = xn-1 + xn-2The sequence of numbers, 1, 1, 2, 3, 5, 8, 13, . . . , in which each successive number is equal to the sum of the two preceding numbers.
The phrase "first difference" is usually associated with a sequence of numbers: a(1), a(2), a(3), a(4), ... . The sequence may have a simple rule for generating the numbers , a complicated rule or, if it is a random sequence, no rule at all.The sequence of first differences is a(2)-a(1), a(3)-a(2), a(4)-a(3), ...
A sequence is a set of numbers, which are identified by their position in the set. That is to say, there is a function mapping the counting numbers {1, 2, 3, ... } to the set. The counting numbers may include 0. There may or may not be a rule governing the numbers. For example, a random sequence, by definition, should have no rule.
The Fibonacci sequence(1,1,2,3,5,8,13,21…) is made by the two previous numbers being added together to make the next number. For example 1+1=2, 1+2=3, 2+3=5, 3+5=8 and so on forever…
The missing numbers in the sequence 2 3 4 6 are 5 and 7.
The rule for the sequence is an = xn-1 + xn-2The sequence of numbers, 1, 1, 2, 3, 5, 8, 13, . . . , in which each successive number is equal to the sum of the two preceding numbers.
The phrase "first difference" is usually associated with a sequence of numbers: a(1), a(2), a(3), a(4), ... . The sequence may have a simple rule for generating the numbers , a complicated rule or, if it is a random sequence, no rule at all.The sequence of first differences is a(2)-a(1), a(3)-a(2), a(4)-a(3), ...
A sequence is a set of numbers, which are identified by their position in the set. That is to say, there is a function mapping the counting numbers {1, 2, 3, ... } to the set. The counting numbers may include 0. There may or may not be a rule governing the numbers. For example, a random sequence, by definition, should have no rule.
The Fibonacci sequence(1,1,2,3,5,8,13,21…) is made by the two previous numbers being added together to make the next number. For example 1+1=2, 1+2=3, 2+3=5, 3+5=8 and so on forever…
The missing numbers in the sequence 2 3 4 6 are 5 and 7.
The rule for this sequence appears to be adding consecutive prime numbers. The sequence starts with 3, then adds the next prime number 2 to get 4. It then adds 3 (the next prime number) to 4 to get 7, then 5 to 7 to get 12, and so on. Each number in the sequence is the sum of the previous number and the next prime number in order.
The Fibonacci sequence is a sequence of numbers where each number in the sequence is the sum of the two numbers right before it. for example: 11235812 <-------Fibonacci Sequence 1 1+1=2 1+2=3 2+3=5 3+5=8 5+8=12
Lucas sequences are sequences of numbers which are defined by two seeds: U(1) and U(2); and an iteration rule: U(n+2) = U(n) + U(n+1) for n = 1, 2, 3, ... When the two seeds are both 1, the sequence is the well known Fibonacci sequence.
1, 1 and 2
The sequence 1, 8, 27, 64 represents the cubes of the natural numbers 1, 2, 3, and 4 respectively. In mathematical terms, this sequence follows the rule of n^3, where n represents the position of the number in the sequence. Therefore, the rule for this sequence is n^3, where n starts at 1 and increments by 1 for each subsequent number.
The sequence is 1,2,3,5,8,13,21.......8 is the missing number. This is known as a Fibonacci Sequence. The first two numbers are supplied and then further numbers in the sequence are formed from the sum of the two prior numbers. 3 = 1 + 2 5 = 2 + 3 8 = 3 + 5.....and so on.
The rule of the Fibonacci sequence is simple. Take the previous number in the sequence, and add it to the current number. The sequence starts with 0 and 1. 0, 1 So, add 0+1=1. The sequence now contains three numbers. 0, 1, 1 Now, add 1+1=2. This brings us to four numbers. 0, 1, 1, 2 Add 1 and 2. (1+2=3) 0, 1, 1, 2, 3 Now it gets a bit tricky. Add 2+3=5, so the next number is 5. 0, 1, 1, 2, 3, 5 Continue to add the numbers accordingly. (3+5=8) 0, 1, 1, 2, 3, 5, 8 Proceed. 0, 1, 1, 2, 3, 5, 8, 13, 25, 38, 63, 101, 164...