### #1 - Next Number In The Series Hardest

What is the next number in this series?
6, 14, 36, 98, 276, ?

794

The nth term in the series is given by the sum of x^n for x in the range 1 to 3, i.e. 1^n + 2^n + 3^n.

Thus the first term is 1^1 + 2^1 + 3^1 = 1 + 2 + 3 = 6,
the second term is 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14,
and so on.

The sixth term is then 1^6 + 2^6 + 3^6 = 1 + 64 + 729 = 794.

### #2 - Hard Number Sequence Problem

What Come next in sequence
1 , 4 , 5 , 6 , 7 , 9 , 11 ?

100 (The next number that doesn't contain a 'T' in the spelling).

### #3 - what is the next number in this sequence

Find the next number in the sequence

1, 2, 6, 21, 88, __?

445

2=(1+1)1
6=(2+1)2
21=(6+1)3
88=(21+1)4
So 445=(88+1)5

### #4 - Hard Number Series Puzzle

What number comes next in the series 5 15 5 18 5 24 14 20 ?

5

write the numbers in ascending order in words as onE twO threE fouR and so on
Replace the last letter in each word with position of letter in the alphabet (E=5, O=15, E=5, R=18 and so on)

so next number is ninE (=>5 as answer)

### #5 - March Series Puzzle

Which will be last number of series?
18, 46, 94, 63, 52, ?

61
Reversed digits of squares of number in descending order.

### #6 - Number Series

What is the next number in this series, 1, 11, 21, 1211, 111221 , 312211 ?

Next in sequence is 13112221.

This series describes each number that came before it:
1 [One]
11 [One One]
21 [Two One(s)]
1211 [One Two and One One(s)]
111221 [One One, One Two, and Two One(s)]
312211 [Three One(s), Two Two(s), and One One]

The next number in the series is:
13112221 [One Three, One One, Two Two(s), Two One(s)]

### #7 - Number Series Question

Identify the next two numbers in this series?

101, 112, 131, 415, 161, 718, ???, ???

192 021
If you look at it as two-digit numbers you'll see:10 11 12 13 14 15 16 17 18 19 20 21

### #8 - Missing Letter Sequence Puzzle

Can you find the missing letter in the sequence ?
S - T - I - L - ? - T - F - Y - C

These are letter of the question asked in reverse order.

### #9 - Hard Number Series Problem

Can you find the next number in the below sequence
3 , 7 , 10 , 11 , 12 , 17 ?

20(Twenty) : when you write them , these are only numbers having vowel 'E'

### #10 - Hard Number Series Riddle

Find the next number in the series
21 32 54 87 131 ?

186

21+11*1 => 32
32+11*2 => 54
54+11*3 => 87
87+11*4 => 131