**Number Sequence Puzzles 1 : Next Number In The Series Hardest**
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Difficulty ★★★★★
Popularity ★★★☆☆
What is the next number in this series?

6, 14, 36, 98, 276, ?

Answer & Explanation

**Solution:**

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.

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**Number Sequence Puzzles 2 : Hard Number Sequence Problem**
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Difficulty ★★★★★
Popularity ★★☆☆☆
What Come next in sequence

1 , 4 , 5 , 6 , 7 , 9 , 11 ?

Answer & Explanation

**Solution:**

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

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**Number Sequence Puzzles 3 : what is the next number in this sequence**
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Difficulty ★★★★★
Popularity ★★★☆☆
Find the next number in the sequence

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

Answer & Explanation

**Solution:**

445

2=(1+1)1

6=(2+1)2

21=(6+1)3

88=(21+1)4

So 445=(88+1)5

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**Number Sequence Puzzles 4 : Hard Number Series Puzzle**
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Difficulty ★★★★★
Popularity ★★★☆☆
What number comes next in the series 5 15 5 18 5 24 14 20 ?

Answer & Explanation

**Solution:**

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)

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**Number Sequence Puzzles 5 : March Series Puzzle**
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Difficulty ★★★★☆
Popularity ★★★☆☆
Which will be last number of series?

18, 46, 94, 63, 52, ?

Answer & Explanation

**Solution:**

61

Reversed digits of squares of number in descending order.

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**Number Sequence Puzzles 6 : Number Series**
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Difficulty ★★★★☆
Popularity ★★★★☆
What is the next number in this series, 1, 11, 21, 1211, 111221 , 312211 ?

Answer & Explanation

**Solution:**

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)]

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**Number Sequence Puzzles 7 : Number Series Question**
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Difficulty ★★★★☆
Popularity ★★★★☆
Identify the next two numbers in this series?

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

Answer & Explanation

**Solution:**

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

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**Number Sequence Puzzles 8 : Missing Letter Sequence Puzzle**
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Difficulty ★★★★☆
Popularity ★★★★☆
Can you find the missing letter in the sequence ?

S - T - I - L - ? - T - F - Y - C

Answer & Explanation

**Solution:**

The answer is M.

These are letter of the question asked in reverse order.

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**Number Sequence Puzzles 9 : Hard Number Series Problem**
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Difficulty ★★★★☆
Popularity ★★★★☆
Can you find the next number in the below sequence

3 , 7 , 10 , 11 , 12 , 17 ?

Answer & Explanation

**Solution:**

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

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**Number Sequence Puzzles 10 : Hard Number Series Riddle**
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Difficulty ★★★★☆
Popularity ★★★☆☆
Find the next number in the series

21 32 54 87 131 ?

Answer & Explanation

**Solution:**

186

21+11*1 => 32

32+11*2 => 54

54+11*3 => 87

87+11*4 => 131

131+11*5 => 186 (answer)

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