Which is the 6th term of the geometric sequence 729,81,9,

Step-by-step explanation:

The n th term of a geometric sequence is

= a

where a is the first term and r the common ratio

r = = =

and a = 729, hence

= 729 ×

                        = 729 × = =

10

step-by-step explanation:

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.