Answer:
nth term of the A.P 13, 8, 3, -2, ….
Arithmetic Progression (AP) whose common difference is = an – an-1 where n > 0
Consider,
a = a1 = 13, a2 = 8 …
Common difference, d = a2 – a1 = 8 – 13 = -5
Find an
an = a + (n-1) d
= 13 + (n-1) (-5)
= 13 – 5n + 5
= 18 – 5n
nth term is 18 – 5n