Suppose a sequence begins with 1, 3 and continues by adding the previous two numbers to get the next number in the sequence. in this sequence, 18 and 29 are consecutive numbers. what is the next number in this sequence ?

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.