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Keep Moving

January 6, 2015 by manish 10 Comments

Number-Puzzle-#128,-Keep-moving
What comes next? Explain.

1, 3, 6, 10, 3, 9, 4, 12, 9, 7, ?, ?

Check your answer:-
First Number
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</p>
Next Number
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</p>
Click here to See SolutionHide

Answered by Asokan

The limiting number in this series is 12
whenever the number becomes more than 12, 12 is deducted from this
1
1 + (2) = 3
3 + (3) = 6
6 + (4) = 10
10 + (5) = 15 – 12 = 3
3 + (6) = 9
9 + (7) = 16 – 12 = 4
4 + (8) = 12
12 + (9) = 21 – 12 = 9
9 + (10) =19 – 12 = 7
7 + (11) =18 – 12 = 6
6 + (12) =18 – 12 = 6

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Number Puzzle #68, 1, 10, 30, ?, 130

January 16, 2014 by puzzler 5 Comments

Number Puzzle #68

missing number in 1, 10, 30, ??, 130

missing number in 1, 10, 30, ??, 130

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Actually this is a GP with first element as 1 and variable factor. where the factor comes from this series
1, 3, 7, 13.

Tn = Tn-1 + 2^(n-1);
T1 = 1;
T2 = T1 + 2^(2-1)= 1 + 2 = 3;
T3 = T2 + 2^(3-1) = 3 + 4 = 7;
T4 = T3 + 2^(4-1) = 7 + 6 = 13

nth number in GP = first number * (10)(Tn-1 in series);
First Element in GP = 1;
Second Element in GP(i.e. n = 2) = 1*10*(T1 in series); = 10
Third element in GP(i.e. n =3) = 1*10*(T2 in series) = 1*10*3 = 30
Fourth element in GP (i.e. n =4) = 1*10*(T3 in series) = 1*10*7 = 70
Fifth element in GP (i.e. n =5) = 1*10*(T4 in series) = 1*10*13 = 130

Thus the missing number here is 70.

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10,20,74,100 what will be the next number

December 30, 2013 by puzzler Leave a Comment

Number Puzzle #62

10,20,74,100. What will be the next number in the series?

next number 10, 20, 74, 100, ?

next number 10, 20, 74, 100, ?

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The Next number in the series is 202.

Explanation:-
Natural number starts with 1,2,3,4,5,6……….
This series is derived by adding 2 consecutive odd Natural Numbers and even natural numbers

first 2 odd natural numbers are 1 and 3 = i.e. square of 1 + square of 3 = gives 10 ( first number)
first 2 even natural numbers are 2 and 4 = Square of 2 + square of 4 = gives 20 ( second number)
second 2 odd natural numbers are 5 and 7 = gives 74 (third number)
second 2 even natural numbers are 6 and 8 = gives 100 ( fourth number)
third 2 odd natural numbers are 9 and 11 which gives 202 ( 5 th number)

Answered by : Vishal Vinchankar

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What is the missing number in sequence

July 6, 2013 by puzzler 1 Comment

 

What is the missing number in the series 1, 4, 27,____, 3125?

What is the missing number in the series 1, 4, 27,____, 3125?


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Missing number in the sequence will be 256.
How?
Here Tn = n^n;
thus T4 = 4^4 = 256;

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Missing numbers in series

June 23, 2013 by puzzler 3 Comments

 

missing numbers in the series 4, 10, 22, 46, ?, ?, 382

missing numbers in the series 4, 10, 22, 46, ?, ?, 382


Find the missing numbers in this series: 4, 10, 22, 46, _____, _____, 382
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Missing numbers in the series are: 94 and 190.

How ?
Every number in the series is following this pattern
Next number = (previous number)*2 + 2;

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What is the next number in sequence? #54

June 4, 2013 by puzzler 1 Comment

 

what is the next number in sequence

what is the next number in sequence

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Next number in the series will be 3263442.
How?
every number in the sequence= (previous number)x(previous number +1)
thus next number in this sequence will be 1806*1807 = 3263442.

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Next number in series? #51

May 27, 2013 by puzzler 1 Comment

 

what is next number in this series? 1, 2, 3, 5, 8, ???

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.

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What is the next number in series? #50

May 26, 2013 by puzzler 2 Comments

 

what is the next number in series

23, 5, 12, 3, 15, 13, ???
Hint: A way to say “HELLO”

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Next number in series will be 5.
How?
its WELCOME, where each letter is replaced by its sequence number in the english alphabets.

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Missing number in series #45

May 2, 2013 by puzzler 3 Comments

What is the missing number in this series

1,16,36,__,81,100,144

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Series is the square of non prime numbers, 12, 42, 62, 82, 92, 102, 122. these are square in sequence excluding the prime numbers 2,3,5,7 and 11. Thus the missing number in series should be 82=64.

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