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Series

Keep Moving

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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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Next Number
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Click here to See Solution

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

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

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Number Puzzle #68

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

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

Check your answer:-

Tried enough already?


Click here to See Solution

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.

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

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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, ?

Check your answer:-

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Click here to See Solution
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

Missing numbers in series

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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
See Answer

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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