Can you unlock this pattern? n°1.

Algebra Level pending

What is the next number in this sequence?

1 , 1 , 1 , 1 , 2 , 1 , 1 , 3 , 3 , 1 , 1 , 4 , 6 , 4 , 1 , 1 , 5 , 10 , 10 , 5 , 1 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1


The answer is 1.

حكيم الفيلسوف الضائع by حكيم الفيلسوف الضائع , 35, Morocco

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13 solutions

Victor Song
May 3, 2014

This sequence is part of the Pascal Triangle. The sequence starts at the top of the triangle which is one and when you reach at the end of the row you go down a line and start from the left. This can also be interpreted as a binary tree where at the end of each root, two more roots grow and if two roots join together they add up to create one number.

17 Helpful 0 Interesting 0 Brilliant 0 Confused

nice one!!

Krishna Ramesh - 7 years, 1 month ago

Nice! :)

Happy Melodies - 7 years, 1 month ago

Nice

Thaer Fayez - 7 years, 1 month ago

its the pascal triangle...!!

Nikitha Chinni - 7 years, 1 month ago

nice prblm

science beginner - 7 years ago

even when you consider the 0th row of pascal triangle, It doesn't justify the 1st "1" ! plzz clarify :)

Ronak Chatterjee - 6 years, 11 months ago
David Lee
May 3, 2014

Think of powers of 11. 1, 11, 121, 1331, 14641, 15 10 10 51, etc. The next digit 'ought to be 1, because the next power of 11 starts in 1.

5 Helpful 0 Interesting 0 Brilliant 0 Confused

but that doesn't explain the first two digits... please reply...

Divyansh Rai - 7 years, 1 month ago

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The "0th" row of Pascal's Triangle is 1, the 1st row is 1 1, the 2nd is 1 2 1 and so on.

Justin Wong - 7 years, 1 month ago

yeah..that was cool

Max B - 7 years, 1 month ago

first digit is 11^0 in second 11^1 so 1,1,1

Varun Vijay - 7 years, 1 month ago

11^5 is equal to 161051.. not 15101051 :)

Zeandrik Ray Reyes - 7 years, 1 month ago

I don't understand the problem

Ashutosh Verma - 7 years, 1 month ago
Adrian Neacșu
May 5, 2014

It was Pascal's triangle. Thanks for posting the question.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

pascal triangle

2 Helpful 0 Interesting 0 Brilliant 0 Confused

*this is * Right

Reajul Haque Reayz - 7 years, 1 month ago
Kavita Thakur
May 9, 2014

Its Pascal's triangle .. so next series will be 1,6,15,20,15,6,1 . 1 is the no. Which we require.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Vinay Sipani
May 3, 2014

0C0, 1C0,1C1, 2C0,2C1,2C2, 3C0,3C1,3C2,3C3, 4C0,4C1,4C2,4C3,4C4, 5C0

=> Next term = 1

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ahmed Safwan
Jul 27, 2014

pascal triangle

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Bofin Babu
Jun 19, 2014

Let's group this way, { 1 } {1-1} {1-2-1}{ 1-3-3-1 }{ 1-4-6-4-1 }{ 1-5-10-10-5-1}

No. of digits in a group : 1, 2, 3, 4, 5, 6 .. Also see the number of central element/s (or the largest element/s) : 1, 2, 1, 2, 1, 2, 1, 2, ...

The next pair should be a 7 digit number with a single central element, and ovbiously it should strat and end with 1's.

Therefore the answer is 1.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

just follow ur mind word

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Abhishek Janapa
May 10, 2014

Answer is one by Pascal's triangle

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Shaksham Kapoor
May 6, 2014

A simple sequence of pascelen triangle..........

0 Helpful 0 Interesting 0 Brilliant 0 Confused

pascal triangle..........................

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Liu Tianyi
May 3, 2014

I was thinking binomial expansion

0 Helpful 0 Interesting 0 Brilliant 0 Confused

11^0=1,11^1=11,11^2=121,11^3=1331,11^4=14641,11^5=161051 digits overlaps 1(5(1)0)1051

Sathish S - 7 years, 1 month ago

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