# Verbal Reasoning - Series Completion - Discussion

### Discussion :: Series Completion - Section 1 (Q.No.3)

Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.

3.

3, 10, 101,?

 [A]. 10101 [B]. 10201 [C]. 10202 [D]. 11012

Explanation:

Each term in the series is obtained by adding 1 to the square of the preceding term.

So, missing term = (101)2 + 1 = 10202.

 Subram said: (Apr 14, 2011) Why 3?

 M C Naidu said: (Jul 14, 2011) Why 3? because 3 square is 9 + 1 = 10.

 Kanna said: (Aug 16, 2011) Can you explain in details.

 Ruby said: (Sep 7, 2011) In first 3x3+1 = 10 then 10x10+1 then 101x101+1.

 Parthiban said: (Mar 10, 2012) Yes the answer is correct

 Appy said: (Aug 19, 2012) Please tell me the easy trick to find out 101x101 without the usage of calculator. !

 Sundar said: (Mar 2, 2013) @Appy 101 x 101, How to calculate this without use of calculator ? 101 x 100 = 10100 + 101 = 10201. So easy.

 Mangesh said: (Apr 24, 2014) 3. 3 x 3 = 9 + 1 = 10. 10 X 10 = 100 + 1 = 101. 101 X 101 = 10201 + 1 = 10202.

 Samir Ku. Das said: (Jul 16, 2014) Ans: C. 3 * 3 = 9 + 1 = 10. 10 * 10 = 100 + 1 = 101. 101 * 101 = 10201 + 1 = 10202.

 Uk(Jk) said: (May 27, 2015) Why they took square here? Any one please tell m?

 Sushrut said: (Dec 26, 2015) Because that is the pattern. i.e 3 when multiplied by 3 gives = 9. And when 1 is added it gives 10 and so on.

 Sushrut said: (Dec 26, 2015) Because it is the pattern. As when 3 is multiplied by 3 it gives 9. And when 9 is added by 1 it gives 10 and so on the series continues.

 Chitnaiah said: (Jan 19, 2016) Try it A+Bx(A*B/A+B).

 Sai said: (Aug 28, 2016) The logic of this series is A.B/A+B.

 Shubhasish said: (Sep 21, 2016) 10 - 3 = 7, 10 + 3 = 13, 13 * 7 = 91. 91 + 10 = 101, So, by this logic. 101 - 10 = 91, 101 + 10 = 111, 111 * 91 = 10101. 10101 + 101 = 10202.