Question

question in the comments

Answer 1

to find if numbers are increasing or decreasing with same pattern you have to find
common difference for arithmetic seq (d is common difference )
\[\huge\rm a_2 - a_1 = a_4 - a_3 = a_3 - a_2 = d\]
common ration for geometric seq (r is common ratio)
\[\huge\rm \frac{ a_4 }{ a_3 }=\frac{ a_2 }{ a_1 }=\frac{ a_3 }{ a_2 } =r\]

Answer 2

I = arithmetic
II= geometric

Answer 3

the third one i converted all the denominators to 8

Answer 4

sooooooo I got 1/8,2/8,3/8,4/8,5/8

Answer 5

can arithmetic sequences be fractions ?

Answer 6

yes

Answer 7

because if they can then all are true

Answer 8

all are either arithmetic or geometric

Answer 9

right?

Answer 10

for 3rd one a_2 /a_1 \[\frac{ \frac{ 1 }{ 4 } }{ \frac{ 1 }{ 8} } = 2\]
a_3 /a_2 \[\frac{ \frac{ 3 }{ 8 } }{ \frac{ 1 }{ 4 }} = \frac{3}{2}\]
number are not increasing with the same pattern so it's not geometric
but when you subtract a_2 by a_1
1/4 -1/8 = 1/8
a_3 - a_2
3/8 - 1/4 = 1/8
you will get same answer
so it's geo or arith seq?

Answer 11

\(\color{blue}{\text{Originally Posted by}}\) @wolverine75
I = arithmetic
II= geometric
\(\color{blue}{\text{End of Quote}}\)
yes right :-)