In the geometric progression –3, 12, −48… what term is 3,072?

hello : A6 =3072

Step-by-step explanation:

note : the nth term is :  An =A1 × r^(n-1)

A1 = - 3   and  r = 12/-3  =- 48/12 = - 4

An =(-3) × (-4)^(n-1)

you have :  An  = 3072    calculate : n

(-3) × (-4)^(n-1) = 3072

(-4)^(n-1) = - 1024

but : - 1024 = ( - 4 )^5

so ;  (-4)^(n-1) = ( - 4 )^5

n - 1 = 5

n = 6     A6 =3072

Ratio of people who said they like cereal bars to people who said they don't = 14:11

Number of people at a grocery shop = 500

Which means :

Thus, 280 people would buy cereal bars.

▪︎Therefore, out of 500 people, 280 people would buy cereal bars.

Ratio of cars which worked well to cars which were defective = 297:3

Number of care produced each day = 1000

Number of defective cars produced each day :

Thus, 15 defective cars are produced.

▪︎Therefore, out of 1000 cars produced each day, 15 cars are defective.