Abaseball stadium has 45,000 seats. if tickets have been bought for 5/8 of the seats for the next game, how many seats are still available to buy?

Number of seats available is 16875

Step-by-step explanation:

we are given

total number of seats =45000

so, N=45000

If tickets have been bought for 5/8 of the seats for the next game

So, total seats booked is

now, we can find number of seats available

Number of seats available = (Total number of seats)-(Number of seats occupied)

so, we get

Number of seats available is

=45000-28125

=16875

(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