Given below is a finite sequence of numbers with an unknown x : 0, 1, 1, 2, 3, 5, 8, 13, x, 34 the value of x is :

Given below is a finite sequence of numbers with an unknown x : 0, 1, 1, 2, 3, 5, 8, 13, x, 34 the value of x is :
[A]17
[B]19
[C]20
[D]21

21
In the given sequence, (starting from the third number) the succeding number is sum of two just precceding numbers. i.e.,
$1 = 0 + 1$
$2 = 1 + 1$
$3 = 1 + 2$
$\therefore x = 8 + 13 = \underline{21}$
Hence option [D] is the correct answer.