Question

5,8,11,14,17 write down an expression in terms of n for the nth term of this sequence

Answer 1

t=5+(n-1)3
t=3n+2

Answer 2

from the original formula for progressions
t=a+(n-1)d

Answer 3

\[\large T_n = a(n-1)d\]
where "a" is the first term.
"n" is the nth term.
"d" is the difference.