Answer :
Final answer:
In the sequence 101, 1001, 10001, 100001, etc., only the first number, 101, is divisible by 101 among the first 2018 numbers.
Explanation:
To answer this question, we first need to understand the pattern of the sequence. The pattern adds an extra zero after the first '1' in every successive number in the sequence. This could be seen as multiplying by 10 and then adding 1. Here it's important to note that the pattern forms numbers that are a multiple of 100 plus 1, excluding the initial 101 in the sequence.
As for the divisibility by 101, the number 101 itself is divisible by 101, but the numbers that follow only seem to be divisible by 101 if they are a multiple of 101^2 (10201), 101^3 (1030301) and so on.
So, among the first 2018 numbers in the sequence, only one number (101) would be divisible by 101.
Learn more about Divisibility here:
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