Question

Find an equation for the nth term of the sequence.

-3, -12, -48, -192, ...

a. an = 4 • -3n + 1

b. an = -3 • 4n - 1

c. an = -3 • 4n

d. an = 4 • -3n

Answer 1

does anyone know how to do this??

Answer 2

this is an geometric progression with a1= -3 and r=-12/-3 =4
now formula for the nth term of a geometric series is
\[a _{n}=a _{1} .r ^{n-1}\]
now you can calculate......

Answer 3

so option b would be right??

Answer 4

and your options should be
a. an = 4 • -3^(n + 1)

b. an = -3 • 4^(n - 1)

c. an = -3 • 4^n

d. an = 4 • -3^n
so b

Answer 5

thank you!

Answer 6

you are welcome @thinktallthoughts