Question

What is the 10th term of the sequence 64, 16, 4, ….?

Answer 1

do you find any pattern in this sequence ?

Answer 2

WeNeedToTalk
64 is 4³
16 is 4²
See a pattern now?

Answer 3

I see a pattern but I'm not sure what it means.
So would I do 4^-10 ?

Answer 4

You wouldn't have to calculate 4^-10
Assuming 64 is the first number in the sequence then you would carry it out to 4^-6

I guess you don't know negative exponents.
4^-2 is 1/4² = 1/16

Answer 5

If this question belongs to Geometric series topic,
then we can also start by finding the common ratio 'r'

common ratio is the ratio between the terms,
r = 2nd term/1st term = 3rd term/2nd term = ... and so on

here, r = 16/64 = 4/16 = 1/4

now just use the formula for n'th term,
\(\Large a_n = a_1 r^{n-1}\)

where a1 = 1st term = 64
r= 1/4
n=10
plug in! :)

Answer 6

@hartnn yea thats what I'm learning thanks!

Answer 7

then this might be helpful to you :)
http://openstudy.com/study#/updates/503bb2a0e4b007f9003103b0

Answer 8

Gee - guess I was concentrating too much on the numeric aspects of this.
:-)