Answer
General term($n^{th}$ term) = 4n - 2
Indicated term $a_{20}$ = 78
Work Step by Step
The given sequence = 2, 6, 10, 14,............;$a_{20}$
From above we observe $a_{1}$ = 2
common difference (d) = 14 - 10 = 10 - 6 = 6 - 2 = 4
General term($n^{th}$ term) = $a_{n}$ = 2 +(n-1)4 = 2+4n-4 = 4n - 2
Indicated term $a_{20}$ = 4$\times$20 - 2 = 80 - 2 = 78
