#### Math Puzzles Question & Answers

# Puzzle : Sequence of numbers

#### Additional Details

Sequence of numbers are 1, 11, 21, 1211, 111221. What will be the next one in the above sequence?

It is a strange sequence. Each number describes the resemblance of the previous one, except the first one.

11 describes the previous '1' which contains one '1'

21 describes the previous '11' which contains two '1'

1211 describes the previous '21' which contains one '2' and one '1'

111221 describes the previous '1211' which contains one '1', one '2' and two '1'.

So the next sequence will be 312211, that is the previous '111221' contains three '1', two '2' and one '1'.

Subject: Math Puzzles

- Related Questions

Which number multiplied by itself will give the output as 12345678987654321 ?

11 * 11 = 121

111 * 111 = 12321

what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321.

so to get 12345678987654321 we need to get square of 9 1's(111,111,111).

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Subject: Math PuzzlesWhat 5 - digit number has the following features :

If we put the numeral 1 at the beginning, we get a number three times smaller than if we put the numeral 1 at the end of the number?

Let the 5 digit number be represented by abcde.

Then the 6 digit number, 1abcde x 3 = abcde1 (another 6 digit number)

Now let Y = abcde

Then (100000 + Y) x 3 = (Y x 10) + 1

300000 + 3Y = 10Y + 1

7Y = 299999

Y = 299999 ÷ 7 = 42857

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Subject: Math PuzzlesArrange four nines(9) and a one(1) and only one mathematical symbol to make it equal to 100 ?

199 - 99 = 100

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Subject: Math Puzzles

In a Certain Country of 5 = 3. If the same proportion holds, what is the value of of 10 ?

A) 4 | B) 6 |

C) 8 | D) 10 |

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Subject: Math PuzzlesReplace each letter for a unique digit so that the equation is correct

(1+9+6+8+3) x (1+9+6+8+3) x (1+9+6+8+3) = 19683

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Subject: Math Puzzles