8 Do not write
outside the
box
9
A company sells houses
The line graph shows the number sold per week for 30 weeks.
Houses sold
9
8
7
Number 6
of weeks 5
4
3
2
1
0
0
5
1 2 3 4
Number of houses
9 (a)
Work out the range of the number of houses sold per week.
[2 marks]

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week