Question

Find an equation for the nth term of the sequence.

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

Answer 1

you need to determine what kind of sequence it is.

Answer 2

arithmetic or geometric?

Answer 3

arithmetic

Answer 4

No

Answer 5

Arithmetic: 3,6,9,12,15... because 3 is added each time
Geometric: 3,9,27,81,... because 3 is multiplied each time

Answer 6

\[a _{n}=a _{1}*r ^{n-1}\]
is the equation for geometric sequence, where r is the common ratio
my above example had r=3

Answer 7

well 4 is being multiplied here

Answer 8

its a gemetric sequence with 1st term a = -3 nd common ratio r = 4

the general from of a term in a geometric sequence is

\[a_{n} = ar^{n -1}\]

hope this helps

Answer 9

@campbell_st it helped thank you both