Question

4,7,11,44,100 ? Find missing number

Answer 1

Given data :  

4, 7, 11, 44 , 100, ?

To find :

The missing number.

Solution :

Logic :

difference between the successive two numbers progresses in the format of  

(n³+2(n)) for odd positions,

(n³-2(n)) for even positions;

where n starts from 1  and goes on incrementing by 1 for every term.

As in :

7 - 4 = 3 which equals 1³ + 2(1)

11 - 7 = 4 which equals 2³ - 2(2)

44 - 11 = 33 which equals 3³ + 2(3)

100 - 44 = 56 which equals 4³ - 2(4)

Then, the difference between 100 and the missing number will be

X - 100 = 5³ + 2(5)

X - 100 = 125 + 10

X - 100 = 135

X = 135 + 100

X = 235 is the next digit.

Therefore, the missing number is 235

and the series goes as

4, ,7, 11, 44, 100, 235

Learn more :

1. 5,7= 37 ,8,4=20 10,6=34 , 6,4=? Find the missing number.

https://brainly.in/question/16906763

2. Which of the following options will best complete the relationship given below? 13(4624)33 15(5735)42 11(????)37​

brainly.in/question/11140008