find the next number in the following sequence;
1/2,2/3,3/5,5/8, _
*please i need your assistance guys for this question*
My idea is as follows
denominator part for the given fraction =1+2 =3
then 2+3 =5, 3+5=8,therefore the next denominator part = 5+8 =13
hence the answ. 8/13 surprising enough i got wrong so what is right solution to this question with more clarification if it is possible
2 + 1 = 3
3 + 2 = 6
5 + 3 = 8
8 + 4 = 12
Is it possibly 8/12?
the numerators and denominators are elements of the Fibonacci sequence:
1,1,2,3,5,8,13,21,...
so the next fraction is 8/13
Each numerator and denominator is the sum of the previous two.
To find the next number in the sequence, we need to understand the pattern between the numerators and denominators.
Looking at the denominators, we can see that each one is obtained by adding the previous two denominators. This is similar to the Fibonacci sequence, where each number is the sum of the two preceding ones.
Starting with 1/2:
1/2 + 2/3 = 3/5
2/3 + 3/5 = 5/8
So, following this pattern, the next denominator would be 8 + 5 = 13.
However, for the numerators, we need to look at the pattern as well. In this sequence, it seems that the numerator is always one less than the corresponding denominator. For example, in the first fraction, the numerator is 1, which is one less than the denominator 2.
Using this pattern, we can deduce that the next numerator would be 13 - 1 = 12.
Therefore, the next number in the sequence should be 12/13.