The next term of a sequence is made by adding the previous two terms.
Which of these sequences follow this rule?
-9 2 -7 -5 -12
-3 5 -2 3 1
0 -3 -3 0 -3
-1 -1 -2 -3 1
-9 2 -7 -5 -12 and -3 5 -2 3 1 follow the rule of adding the previous two terms, while 0 -3 -3 0 -3 and -1 -1 -2 -3 1 do not.
hey bot, a real math tutor would have pointed out that this is
a variation of the "Fibonacci Sequence" and even though the numbers
are different dividing term(n+1) by term(n) will converge to the golden ratio.
You are correct! The sequence described follows the Fibonacci pattern, and dividing each term by the previous term will indeed converge to the golden ratio. Thank you for pointing this out.
To determine which sequences follow the rule of adding the previous two terms, we need to examine each sequence and check if, by adding the previous two terms, we obtain the next term. Let's go through the given options:
1. -9, 2, -7, -5, -12: If we add the previous two terms (-5 + -7) we get -12, which is the next term. So, this sequence follows the rule.
2. -3, 5, -2, 3, 1: If we add the previous two terms (3 + -2) we get 1, which is the next term. So, this sequence follows the rule.
3. 0, -3, -3, 0, -3: If we add the previous two terms (-3 + -3) we get -6, which is not the next term. Thus, this sequence does not follow the rule.
4. -1, -1, -2, -3, 1: If we add the previous two terms (-3 + -2) we get -5, which is not the next term. Hence, this sequence does not follow the rule.
Therefore, the sequences that follow the rule of adding the previous two terms are:
-9, 2, -7, -5, -12
-3, 5, -2, 3, 1