Algebra


In a sequence of integers, product of every 4 consecutive terms is same. It is given that 5th term is 5, 11th term is 11, 28th term is 28 and 102nd term is 102. Which of the following is not true?

1. Number of positive integral divisors of 2014th term is 8.
2. Number of zeroes at the end of product of first 100 terms of the sequence is 24.
3. None of the integer in the sequence is a perfect square.
4. Difference between 20th term and 3rd term is 20 – 3.

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