## anonymous 5 years ago What is the next term in the sequence? 6, 11/2 , 5 , 9/2 , 4 What did you do to get your answer?

1. amistre64

what type of sequence are we looking at? arith. or geom?

2. amistre64

or random?

3. anonymous

It just says make a conjecture about the next item in each sequence

4. amistre64

$\frac{12,11,10,9,8,...}{2}$

5. anonymous

So I guess it's random

6. anonymous

${12 \over 2}, {11 \over 2}, {10 \over 2}, {9 \over 2}, {8 \over 2}, {{(13-n)} \over 2}={7 \over 2}$

7. anonymous

the only thing I know is that you subtract 1/2 and get the previous number, but I don't know how to get the next number

8. amistre64

its arithmetic, just have to make them all match denoms

9. anonymous

Oh I see

10. amistre64

if you know to subtract 1/2; then by all means do it

11. anonymous

Thanks

12. anonymous

Hey, but do you know a quick way of figuring this out?