What is the next number in the sequence? 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, ... A) 611?

Question

What is the next number in the sequence? 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, ...
A) 611
B) 987
C) 1056
D) 1597
E) None of the above

Answer 1

This is the famous Fibonacci sequence! It is where the sum of the previous two numbers make up the next number. So 377 + 610 is 987.

Answer 2

In this series each number is added to the previous number for making next number.

second last number = 377

last number = 610



so the next number = 610+377 = 987

correct answer is option B) 987.

Answer 3

Plainly the intended correct answer is 987, since this is the beginning of the well-known Fibonacci sequence

given by the recurrence relation f_n = f_(n-1) + f_(n-2) and initial conditions f_0 = 1 and f_1 = 1.



If the problem had stated that the sequence was given by a two-term linear recurrence relation (or a degree two linear recurrence relation) or was given by a linear combination of two exponential sequences (the generic form of solution for degree two linear recurrence relations, which the Fibonacci sequence happens to fit), then this would be provably the only correct answer. (I think one could also force it to be the only correct answer by bounding the Kolomogorov complexity of the sequence.)



Without some such extra specification, the question is, alas, ill-formed since there is a degree 15 polynomial whose values at 0,1,2,...,16 are the first fifteen Fibonacci numbers followed by any number you feel like putting next (you can find the coefficients by solving a system of linear equations).

Answer 4

987



Wow, I just found out about that sequence! Learn something new everyday I guess?

Answer 5

987

Answer 6

Choice B. 987 is correct.

Answer 7

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, ...

Answer choice:

B) 987

Answer 8

After starting with 1, 1, each number is the sum of the previous two numbers.



The next number in the list is 377 + 610 = 987



B) 987

Answer 9

This is the Fibonacci sequence. After starting with 1, 1, each number is the sum of the previous two numbers.



The next number in the list is 377 + 610 = 987.

Answer 10

B) This is the Fibonacci sequence