Number Pattern

This is the Fibonacci sequence. It goes as follows:

$a_1 = 0, a_2 = 1, a_{n+1} = a_n + a_{n-1}$

for $n \geq 2$ . From this, we can get that the next number is $34 + 21 = \boxed{55}$ .

0+1＝1
1+1＝2
2+3＝5
.............
.............
21+34＝55

This pattern above is the $\text{Fibonacci Sequence}$ in which the previous numbers are added to give the next one.

The sequence is given as

$F_0 = 0, F_1 = 1, \cdots, F_n = F_{n-1} + F_{n-2}$

for all $n>1,$ so the desired answer is $34+21=\boxed{55}$

Fibonacci series. 3rd number is the sum of first two numbers.

x k = x k-1 + x k-2 , k=2,3,... With x 0=0 and x1=1

its simply the fibonacci sequence. the following number is the previous 2 numbers added together. so in this case x= 21+34= 55

This is fibonacci series as it is obtained by adding the 2 previous number

This is Fibonacci series.

These are FIBONACCI NUMBERS

Add the previous number with the next pervious number and you get the next number IE. a,b,? = a+b=?

FIBONNACI!!!

Sum of previous two terms is next term.

Fibonacci sequence. Each number is the result of adding the previous.

Got to love the old fibonacci sequences, next time solve for what the whole equation would equal

34 + 21 = 55

its fibonacci series

This is none other than the fibonacci sequence

Add the two in front to find the missing

0+1=1 1+1=2 1+2=3 ................ 21+34=55

Addition of previous 2 number is the Number.

Its a Fibonacci Series... Addition of previous 2 number is the Number.

Its simply Fibonacci. If you don't know the sequence, add the two most recent numbers, and you get the next number.

for getting nth term just add the terms (n-1) and (n-2)

we can get that the next number is 34 + 21 = 55

Nothing so Complicated ! Just add the two consective terms and you get the answer !