In the geometric progression - 3, 12, - 48 ... what term is 3,072?

The 6. term

Step-by-step explanation:

Make a table for

y = - 3· (-4) ^ (x - 1)

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