Question

!!~~(((THIS IS MULTIPLE CHOICE PLEASE HELP)))~~!!

which sequences have a common ratio of 1/3?

a) -9, 3, -1, 1/3, -1/9, . . . . .
b) -1/2, -1/6, -1/18, -1/54, -1/162, . . . .
c) 900, 300, 100, 100/3, 100/9, . . . .
d) 100, 300, 900, 2700, 1800, . . . . .

Answer 1

b and c

Explanation:

a) -9, 3, -1, 1/3, -1/9, . . . . .

-9 * (-1/3) = 3

3 * (-1/3) = -1

Here the common ratio is -1/3

b) -1/2, -1/6, -1/18, -1/54, -1/162, . . . .

-1/2 * 1/3 = -1/6

-1/6 * 1/3 = -1/18

It has common ratio of 1/3 //Answer

c) 900, 300, 100, 100/3, 100/9, . . . .

900 * 1/3 = 300

300 * 1/3 = 100

Common ratio of 1/3 //Answer

d) 100, 300, 900, 2700, 1800, . . . . .

100 * 3 = 300

300 * 3 = 900

Common ratio of 3

//Hope it helps