Number Sequence Puzzles With Answers

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.

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

445

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

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)

61
Reversed digits of squares of number in descending order.

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)]

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

The answer is M.

These are letter of the question asked in reverse order.

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

186

21+11*1 => 32
32+11*2 => 54
54+11*3 => 87
87+11*4 => 131
131+11*5 => 186 (answer)