1 3 21 71 ___ 331 find the missing no.?
Answers
answer 1 3 2171 4 331 answers
Concept:
This question requires us to have knowledge on how to solve mental ability questions and some basic usage of arithmetic operations.
Given:
We are given a sequence of numbers 1, 3, 21, 71, __, 331.
To find:
We need to find the given missing number.
Solution:
Let the missing number be x.
Let us first subtract the 2nd number with the 1st and so on.
3-1 = 2
21-3 = 18
71-21= 50
x- 71= y
Now we subtract the 2nd subtracted number with the first subtracted number and 3rd with 2nd.
18-2 = 16
50-18 = 32
y-50=48
Now, we can observe that these numbers are a multiple of 16.
The next multiple of 16 would be 48.
therefore the next difference in the sequence will be
48+50=y = 98.
Therefore,
x = 98+71 = 169
Also, we can notice that the next number follows the same rule.
The missing number is 169.