Question

I have no idea how to do this
what is the tenth term of the geometric sequence 3,6,12,24,48,....?

A.512
B.3,072
C.758
D.1,536

Answer 1

Look at the numbers it gives you and try and spot a pattern, so with this one you can see:
you start with

'3'
double it to
'6'
double it to
'12'
double it to
'24'

and keep doubling until you've got your tenth number in the sequence!

Answer 2

or there's a formula to do it.

Answer 3

what the formula

Answer 4

for geometric series,
\(\large a_n=a_1r^{n-1}\)
so you'll need a1 = 1st term = 3
and r = common ratio = ....? can you find ?