Sequence,patterns and orders

Number Theory Level pending

In the following question, the numbers are arranged in a particular order or pattern. Choose the missing number from the given alternatives 2 , 5 , 10 , 17 , ? , 37 , 50 2, 5, 10, 17, ?, 37, 50

33 26 31 29

Ankit Vijay by Ankit Vijay , 22, India

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9 solutions

Abishek Nathan
Jun 7, 2015

The sequence is of the form n^(2)+1.

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Noel Lo
May 21, 2015

+3 +5 +7 +9 +11 +13

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Prince Mishra
Jul 8, 2014

add odd numbers in increasing order

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just add 3,5,7,9.....all are odd nos.

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Anjna Anilkumar
Jun 17, 2014

the difference between 2 and 5 is 3 and the difference between 5 and 10 is 5 and the difference between 10 and 7 is 7 the difference between the 3 and 5 and 7 is 2 and when we add the 2 with 7 we get 9 = 17 +9 =26 is the answer

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Henrique Ribeiro
Jun 16, 2014

5 - 2 = 3. 10 - 5 = 5. 17 - 10 = 7. The next will be 9. 17 + 9 = 26. You can check the sequence using the same ratio.

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Abhijeet Ghate
Jun 16, 2014

a_{n} = n^2+1

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Can't understand the pattern

Pablo Del Corral - 6 years, 12 months ago

Oh yeah, just caught it. It's a simple formula

Pablo Del Corral - 6 years, 12 months ago

How does this relate 10 to 17? I´m not picturing this formula correctly, then...

Rafael Tages Melo - 6 years, 12 months ago

Square of 1+1 = 2. Square of 2+1= 4+1= 5. Square of 3+1= 9+1= 10. Square of 4+1= 16+1= 17. so answer is Square of 5+1 = 25+1 = 26. Dont 's know why, my formatting guide does not work here :(

Abhijeet Ghate - 6 years, 12 months ago
Ahmed Salah
Jun 14, 2014

3,5,7,9,11,13,15,etc...

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Keep Enjoying
Jun 13, 2014

Simple even, odd pattern

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Yeah, but what is the pattern?

Rafael Tages Melo - 6 years, 12 months ago

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