Question

What next number in series 11,22,24,48

Answer 1

$\begin{gathered}\\\quad\longrightarrow\quad \boxed{\large\sf{50}}\\\end{gathered}$

Step-by-step explanation:

$\large\star$Let us Analyse succeeding term of the series with respect to previous term -

$\red\dag$Let us Look at second term i.e., 22 , it is obtained by doubling ( multiplying by 2) the previous term i.e., 11 as -

$\begin{gathered}\\\quad\longrightarrow\quad \sf 11× 2 = 22\\\end{gathered}$

Now,

$\green\dag$For third term i.e., 24 , 2 is added to preceeding term 22

Again,

$\orange\dag$For fourth term i.e., 48 ,the preceeding term 24 is doubled as-

$\begin{gathered}\\\quad\longrightarrow\quad \sf 24× 2 = 48 \\\end{gathered}$

Thus, for obtaining next term , pattern goes as-

Doubling the term $\longrightarrow$ Adding 2 to it

(starting with the first term)

Now,

$\blue\dag$for fifth term, as per pattern , 2 will be added to 48

$\begin{gathered}\\\quad\longrightarrow\quad \sf 48+2= 50\\\end{gathered}$

Thus , 50 is our required answer.