Question

In a geometric sequence where r > 1, the terms always increase.

True or False??

Answer 1

say r = 1.1
a = 1

then the terms will be

\(1, 1\times 1.1, 1\times 1.1^2, ..... \)

Answer 2

is \(1\times 1.1 > 1\) ?

Answer 3

yes because 1.1 > 1, so then that would be true?

Answer 4

Yup !

Answer 5

thank you so much!

Answer 6

wait a second,
if a < 1, then the terms may decrease as well

Answer 7

it was true :)

Answer 8

but i feel the quesiton is asking u the case when a is positive only.
so the answer should be true only

Answer 9

cool :)

Answer 10

thank you so much!