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How?
Here Tn = n^n;
thus T4 = 4^4 = 256;
A person forgot his 5 digit pin code, but he remembers some hints.
Can you guess the person’s pin code from above hints ?
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also assume, 3rd digit is y then 5th digit should be 14-y.
So the number will look like this:-
<x^2><x><y><x+1><14-y>
As we also know the sum of all digits, we can say
x^2 + 2x +1 +14 = 30 (x+1)^2 = 16 x+1 = 4 x = 3
As sum of 2nd and third digit is 10 => x+y = 10 => y=7
Thus the pin code is 93747.
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x = 0.999...
10x = 9.999...
10x - x = 9.999... - 0.999...
9x = 9
x = 1
1/3 = 0.333...
3x(1/3) = 3x(0.333...) = 0.999...
1 = 0.999...
Numbers: 1, 5, 7 and 8.
Operators: +, -, * and /
You can use ( ) brackets as well.
Rules:-
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Its first digit is the number of occurrence of 0’s in the number.
Second digit is the number of occurrence of 1’s in the number.
Third digit is the number of occurrence of 2’s in the number.
4th digit is the number of occurrence of 3’s in the number.
and so on up to 10th digit(which is number of occurrence of 9’s in the number).
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what is next number in this series? 1, 2, 3, 5, 8, ???
Hint: this is a classic and very important series.
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Next number in the series will be 13.
How?
every number in this series is sum of previous two numbers, thus the next number should be 5 + 8 = 13.
This classic and very important series is called Fibonacci series.