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

i am unable to solve this problem

step-by-step explanation: