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To find the nth terms, the formula is

a_n = a_1 + d(n-1)

The common difference in this sequence is 2, so d=2
The first term is 5, so a₁=5


a_{21} = 5 + 2(21-1)=5+40=\boxed{45}

a_{10} = 5 + 2(10-1)=5+18=\boxed{23}