4,7,11,44,100, ?find the missing
term
Answers
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.
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2. Which of the following options will best complete the relationship given below? 13(4624)33 15(5735)42 11(????)37
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