INITIAL VALUES & RATES OF CHANGES
The situation: You have $1000 saved. Now, you need to figure out which bank you want to invest your
money in. You can choose from the following two banks.
Standard Bank: You will be given $65 at
the end of every year.
NATIONAL
BANK :Your account earns 6%
annual interest.

(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

$205,000 here you go i had to guess it but i got it correct so yeah

i want the details r