Sequence Of Numbers

It's the FIBONACCI SEQUENCE , where any term is represented as the sum of the preceeding two terms. i.e 1+1=2

1+2=3

2+3=5

3+5=8

$5+8=13$

This is the famous Fibonacci series.The next term is the sum of the two previous terms.Therefore the next term is 8+5,which is 13.

The pattern is simple. The next following number is sum of two previous numbers.

It follows the fibonacci sequence . So, the answer is $8+5 = \color{#69047E}{\boxed{13}}$ .

The equation for this sequence is

$a_k = a_{(k-1)} + a_{(k-2)}$

Since we are looking for the seventh term ( $k = 7$ )

$a_7 = a_6 + a_5$

We already know that $a_6 = 8$ and $a_5 = 5$ so

$a_7 = 8 + 5 = 13$

So the next number in the sequence is $13$

Fun fact: This sequence is known as the Fibonacci sequence

In the given sequence the sum of the consecutive term is the next term.

Since 5+8=13

therefore the next term is 13

we simply find the next term adding the previous terms as 1+1=2 , 1+2=3 and so on..so the missing value is equal to 5+8=13

Simply Fibonacci numbers. add the previous two no of sequence to get the new number.

This sequence is known as the Fibonacci Sequence, in which a number is the sum of the previous two numbers. Hence the desired answer is $5+8=\boxed{13}$ .