Question

Here's another problem
The number of homes sold is growing according to a linear growth model. The first week 4 homes were sold (P0=4) The second week a total of 10 homes were sold. (P1=10)

n=0-1st week po=4 p1=10 d=6
n=1-2nd week d=p1-p0=10-4=6

Write the recursive Formula for the number of homes sold
pn in the (n+1)th week pn=pn-1+6

Write the explicit Formula for the number of homes sold
Pn in the (n+1)th week Pn=4+6n

If this trend continues how may homes will be sold in the 5th week?
n=4 -5th week

P4=4+6(4)=24+4=28 homes sold in the 5th week.

How did they get this answer of 28 if its the 5th week. because it seems it should be p4= 4+6(5)= 34 Please some body answer how they got this.

Answer 1

if n+1 = 5
then n = 4

Answer 2

pn6(5-1)+4= 24+4=28