It is given that `a_n = 2n + 3`
The identity `a_(n+1) - a_n = 2` has to be proved.
`a_(n+1) - a_n`
= `2(n + 1) + 3 - (2n + 3)`
= 2n + 2 + 3 - 2n - 3
This proves that `a_(n+1) - a_n = 2` if `a_n = 2n + 3`
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