Question

Determine a razão de cada PG

a- (1, 10, 100, 1000,...)
b- (-5, 1, -1/5, 1/25, ...)
c- (-4, 8, -16, 32, ...)
d- (2, -2, 2, -2, ...)
e- (-2/27, -2/9, -2/3, -2, ...)

Answer 1

a) q = a₂ / a₁

q = 10 / 1

q = 10

b) q = a₂ / a₁

q = 1 / - 5

q = - 1/5

c) q = a₂ / a₁

q = 8 / - 4

q = - 2

d) q = a₂ / a₁

q = - 2 / 2

q = - 1

e) q = a₂ / a₁

q = - 2/9   /  - 2/27

q = - 2/9 * - 27/2

q = 54/18

q = 3

Answer 2

a- (1, 10, 100, 1000,...)     q = 10/1 = 10

b- (-5, 1, -1/5, 1/25, ...)     q = 1-5 = -1/5

c- (-4, 8, -16, 32, ...)        q = 8/-4 = -2

d- (2, -2, 2, -2, ...)           q = -2/2 = -1

e- (-2/27, -2/9, -2/3, -2, ...) q = -2/9 / -2/27 = 3