Write down the first three terms of the sequence of natural numbers leaving remainder 1 on division by 5 check whether 510 is a term of a sequence of above sequence
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If the remainder after the division of 5 is 1, then the numbers must be 1 greater than the closest multiple.
5, 10, 15, 20... leave remainders of 0.
Now add 1 to each.
6, 11, 16, 21, 26... etc. leave a remainder of 1.
Therefore, the first three terms of the sequence of natural numbers leaving a remainder of 1 are: 6, 11, 16.
If you divide 510 by 5, you get remainder as 0. Therefore, 510 is not a part of this sequence.
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Step-by-step explanation:
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