E Your Turn
5 of
Bernard received $205 in cash and $245 in
ripe to
checks as graduation presents. He decided to
ecided open a bank account with that money. Each
2
week he will add $45 from his weekly paycheck
- The
to the account. Write an equation that can be
used to determine the total amount of money,
of the
m, Bernard has in the account after w weeks.
an
tion?

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e

(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