Consider the sequence of two digit numbers which leave a remainder 1 on division by 5 a) Write down the sequence .
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525555555595554525585
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Given : sequence of two digit numbers which leave a remainder 1 on division by 5
To Find : the sequence .
Solution:
leave a remainder 1 on division by 5
can be represented by 5n+ 1
as sequence of two digit numbers
Hence 10 ≤ 5n + 1 ≤ 99
10 ≤ 5n + 1
=> 9 ≤ 5n
=> 2 ≤ n
5n + 1 ≤ 99
=> n ≤ 19
2 ≤ n ≤ 19
Hence sequence is
11 , 16 , 21 , ___________________ 91 , 96
5n + 1 , 2 ≤ n ≤ 19
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