Question

which of the following is geometric sequence
1) 1, 3, 5, 7,...
2) 1,3,6,10,...
3) 1, 0.1, 0.01, 0.001,...
4) 1, 1/2, 1/3, 1/4,...

Answer 1

Let's check if 1, 3, 5, 7 is geometric

Answer 2

how do u check it

Answer 3

Divide the second term by the first term: 3/1 = 3

Then divide the third term by the second: 5/3 = 1.667

We get different results. If the sequence was geometric, then you'd get the same result everytime

Answer 4

oh

Answer 5

Something like 1, 2, 4, 8, 16 is geometric because


2/1 = 2
4/2 = 2
8/4 = 2
16/8 = 2


Notice how I'm dividing each term by the previous term and I get the same result everytime: 2

Answer 6

ok

Answer 7

is 1,3,6,10,... geometric?

Answer 8

nope

Answer 9

why not

Answer 10

because 10/6 is 1.6666...

Answer 11

what else

Answer 12

6/3 is 1 and 3/1 is 1 so all of them has to be 1 in order to be geo sequence

Answer 13

6/3 = 2 actually

Answer 14

3/1 = 3

Answer 15

oh right they have different number

Answer 16

3/1 = 3
6/3 = 2
10/6 = 1.667

the results are NOT the same, so 1,3,6,10,... is NOT geometric

Answer 17

again, I'm dividing each term by the previous term

Answer 18

0.1/1=0.1
0.01/0.1=0.1
.001/0.01=0.1
so choice 3 is a geometric sequence because the result are the same

Answer 19

correct

Answer 20

how about 1, 1/2, 1/3, 1/4

Answer 21

(1/2)/1=.5
(1/3)/(1/2)=0.666666...
not the same result

Answer 22

nice job

Answer 23

so only choice 3 is geometric

Answer 24

thanks appreciate it

Answer 25

you're welcome