Question

Write a recursive formula for the sequence 5 18 31 44 57 then find the next term

Answer 1

If your in connexus its:

B) a1=5;an=an-1+13 the next term is 70.

i promise this is correct, hope this helps bye guys :3

Answer 2

we know that
In the Arithmetic Sequence the formula is:

an= a1 + d(n−1)

where

a1 is the first term

d is the common difference

n is the number of terms

in this problem

a1=5

a2=18

a3=31

a4=44

a5=57

so

d=a2-a1 or a3-a2 or a4-a3 or a5-a4

d=57-44----> 13

find a6

a6= a1 + d(n−1)

n=6

d=13

a1=5

a6=5+13*(6-1)----> a6=5+13*5----> a6=70

the answer is

a6=70