Pretty hard sequence 3

Algebra Level pending

What is the next term in the sequence 36 36 , 576 576 , 3600 3600 , 14400 14400 .....?


The answer is 44100.

Shivamani Patil by shivamani patil , 21, India

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2 solutions

Milind Joshi
Jul 5, 2014

Its (n-1)th term will be (n^3-n)^2.......so here 5th term =??.......n=6....that term will be 210^2=44100

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You figured it out in once shot? Cool.. While I take a long weird way but give the same answer

Suradnyana Wisnawa - 6 years, 11 months ago
Ashwin K
Feb 1, 2016
  • I understood all are square numbers.
  • Next, I had a close look at the actual numbers(6,24,60,120).
  • I found that the differences between them as (18,36,60).

  • Once again found the next level difference which is 18,24.

    The series continues as 18,24,30 which means that the first level difference is 90 and theactual number is 120+90=210. Hence,the required answer is 210^2=44100.

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