Question 1205120

Given data:

{{{P[0] = 7}}} (number of cars sold in the first week)

{{{P[1] = 15}}} (number of cars sold in the second week)

We can see that each week, the number of cars sold increases by {{{8}}}. 
It's an arithmetic sequence, with common difference {{{d=8}}}.

So, the recursive formula can be expressed as:

{{{P[n]= P[1] + (n-1)d }}} ....{{{d=8}}},{{{P[0]=7}}}

{{{P[n]=7+(n-1) 8}}}

{{{P[n]=7+8n-8}}}

{{{P[n]=8n-1}}}


 how many cars will be sold in the sixth week?

substitute {{{n=6}}}

{{{P[6]=8*6-1}}}

{{{P[6]=47}}}

in the sixth week {{{47}}} cars will be sold