Write the sequence of natural numbers which leaves reminder 3 on division by 4 ? Check whether the sequence is an arithmetic sequence?
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Given : sequence of natural numbers which leaves reminder 3 on division by 4
To Find : write the sequence
Solution:
a = bq + r
aₙ = 4n + 3
n = 0
a₀ = 3
a₁ = 7
a₂ = 11
Hence sequence is
3 , 7 , 11 , 15 , _____
Yes , sequence is an arithmetic sequence
as it has common difference of 4
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