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3 years ago

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

Mathematics

2 answers:

nekit [7.7K]3 years ago

8 0

Answer:

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

Rudiy273 years ago

7 0

Answer:

The 6. term

Step-by-step explanation:

Make a table for

y = - 3·(-4)^(x - 1)

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