Question

51200 , 6400 ,1600 , 800 , 800 __?__
Find the number next in series
Options
A) 200
B) 400
C) 800
D) 1600
E) 2000​

Answer 1

Correct Question:

51200, 25600, 12800, 6400, 3200, 1600,  __?__

Find the number next in series

Options

A) 200

B) 400

C) 800

D) 1600

E) 2000​

Final Answer:

The number next in the series of numbers is 51200, 25600, 12800, 6400, 3200, 1600, is 800 and, hence the option is C.

Given:

The series of numbers is 51200, 25600, 12800, 6400, 3200, 1600.

To Find:

To evaluate the number next in the series of numbers is 51200, 25600, 12800, 6400, 3200, 1600.

Explanation:

The series of numbers when written in any sequence have a specific relationship between the consecutive numbers.

The series of numbers can be in any progression form like arithmetic progression, geometric progression, etc.; or any combination.

Step 1 of 2

Find out the common relationship between the consecutive numbers in the series of numbers is 51200, 25600, 12800, 6400, 3200, 1600, in the following way.

$51200 = 25 \times 2048 = 25 \times 2 ^ {11}\\25600 = 25 \times 1024 = 25 \times 2 ^ {10}\\12800 = 25 \times 512 = 25 \times 2 ^ 9\\6400 = 25 \times 256 = 25 \times 2 ^ 8\\3200 = 25 \times 128 = 25 \times 2 ^ 7\\1600 = 25 \times 64 = 25 \times 2 ^ 6$

Step 2 of 2

Obviously, the above pattern indicates that the sought number is

$25 \times 32 = 25 \times 2 ^ 5=800$

Threfore, the required number next in the series of numbers is 51200, 25600, 12800, 6400, 3200, 1600, is 800 and, hence the option is C.

Know more from the following links.

https://brainly.in/question/31539034

https://brainly.in/question/158215

#SPJ1