Question

algebra of an arithmetic sequence xn=4n+3 is 2019 a term of the sequence? why?
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Answer 1

The given arithmetic sequence

$x_n=4n+3$

If possible let 2019 be the ${m}^{th}$term

Then

$x_m=2019$

$\implies \: 4m + 3 = 2019$

$\implies \: 4m \: = 2016$

$\therefore \: x \: = 504$

So 2019 is the ${504}^{th}$term of the sequence