Given: a=2 , d=8 , Sn=90
Sn = n/2 {2a + (n-1) d}
90 = n/2{4+(n-1)8}
180 = n(8n - 4)
45 = n(2n-1)
2n2 - n -45 =0
2n2 - 10n + 9n -45 =0
2n(n-5) + 9 (n-5)=0
(n-5)(2n+9)=0
n = -9/2 (not possible )
n = 5
T(n) = a +(n-1)d
= 2 +(n-1) 8
= 8n - 6