Question

What is the eleventh term in the sequence 256, 128, 64, 32, . . . ? please show me the steps

Answer 1

Hmm, let's see now
256/128 = 2
and
128/64 = 2
and
64/32 = 2

Is there a pattern here?

Answer 2

sorry i wasn't here for a while

Answer 3

ok, do you see the pattern?

Answer 4

yes

Answer 5

is it geometric sequence

Answer 6

yes. So what's the next term?

Answer 7

16

Answer 8

Right. So if x_j is the jth term
\[ x_j = ar^{j-1} \]
what are the values of a and r?

Answer 9

x_1 = a = 256
...

Answer 10

thanks . i got it

Answer 11

so what's the final answer?

Answer 12

is it 1/4

Answer 13

yep

Answer 14

thanks