Which one of the following is a geometric sequence?

The geometric sequence among following is:

         Option: B

         8 , 4 , 2 , 1 , 1/2 , 1/4 ,.....

Geometric sequence--

A sequence is said to be a geometric sequence if each of the number in the sequence is a constant multiple of the preceding term in the sequence.

This constant multiple is known as the common ratio (r)

i.e. the sequence is given by:

a,ar,ar²,ar³,.....

A)

0,1,2,3,......

It is a arithmetic sequence and not a geometric sequence .

Since, each of the term is increasing by 1 as compared to the preceding term of the sequence.

B)

8,4,2,1,1/2,1/4,.....

It is a geometric sequence.

Since, each term of the sequence is a constant multiple of 1/2 of the preceding term of the sequence.

i.e. 8×(1/2)=4

4×(1/2)=2

2×(1/2)=1

1×(1/2)=1/2

and so on.

i.e. the common ratio is: 1/2

C)

-7,10,23,36,.....

This is not a geometric sequence.

Since,

but

D)

2,-3,9/2,-18/4

Here

but

Hence, it is not a geometric sequence.

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.