What is the recursive rule for an=3n+5? a1=8; an=an−1+3 a1=5; an=an−1+3 a1=3; an=an−1+5 a1=8; an=an−1+5

Option A

Step-by-step explanation:

Given that an = 3n+5

Substitute 1 to get I term as

a1 = 3(1) +5 = 8

Hence I term is 8

II term = a2 = 3(2)+5 = 11

d = common difference = a2-a1 = 11-8 =3

Hence it is an arithmetic progression with I term as 8 and common differnce as d. So 3 is added to each term to get next term.

Recursive rule