Question

2,6,20,56,176,_405412416420​

Answer 1

Answer:

i don't understance your question

Step-by-step explanation:

Answer 2

Answer:

416 is the next term in the series.

2,6,20,56,176, 416

Step-by-step explanation:

Given:

2,6,20,56,176

To find:

The missing term

Solution:

• This series is a numerical sequence in which the numbers are arranged in an orderly manner makes a sequence.
• The pattern is $\left(\mathbf{x}_{1}, \mathbf{x}_{\mathbf{2}}, \mathbf{x}_{3}, \mathbf{x}_{\mathbf{4}}, \mathbf{x}_{5}, \mathbf{x}_{6}\right) are the numbers in the series thus (2 \times 1) \Rightarrow x_{1},(2 \times 3) \Rightarrow x_{2},(4 \times 5) \Rightarrow x_{3},(8 \times 7) \Rightarrow x_{4},(16 \times 11) \Rightarrow x_{5},(32 \times 13) \Rightarrow x_{0} .$
• $(1,3,5,7,11,13)$ are the prime numbers and that was multiplied by numbers $(2 \times 1,2 \times 2,2 \times 4,2 \times 8,2 \times 16)$multiplies of 2 .

The first number is obtained by multiplying by 2 with the first prime number

1 we get,

$\begin{aligned}&\Rightarrow(2 \times 1) \Rightarrow x_{1} \\&\Rightarrow x_{1} \Rightarrow 2\end{aligned}$

The second number is obtained by multiplying by $(2 \times 1)$ the next prime number 3.

$\begin{aligned}&\Rightarrow(2 \times 3) \Rightarrow x_{2} \\&\Rightarrow x_{2} \Rightarrow 6\end{aligned}$

The third number is obtained by multiplying by $(2 \times 2)$ the next prime number 5.

$\begin{aligned}&\Rightarrow(4 \times 5) \Rightarrow x_{3} \\&\Rightarrow x_{3} \Rightarrow 20\end{aligned}$

The fourth number is obtained by multiplying by $(4 \times 2)$ the next prime number 7.

$\begin{aligned}&\Rightarrow(8 \times 7) \Rightarrow x_{4} \\&\Rightarrow x_{4} \Rightarrow 56\end{aligned}$

The fifth number is obtained by multiplying by $(8 \times 2)$the next prime number 11.

$\begin{aligned}&\Rightarrow(16 \times 11) \Rightarrow x_{5} \\&\Rightarrow x_{5} \Rightarrow 176\end{aligned}$

The sixth number is obtained by multiplying by $(16 \times 2)$the next prime number 11.

$\begin{aligned}&\Rightarrow(32 \times 13) \Rightarrow x_{6} \\&\Rightarrow x_{6} \Rightarrow 416\end{aligned}$

Hence, The next number in the series is 416.