Question

Is the sequence 3, 12, 36, ... a geometric sequence?

Answer 1

A geometric sequence is of the form
\[a, ar, ar^2, ar^3...\]
Two consecutive terms are in the same ratio
Let's check if the sequence satisfies this
\[\frac{12}{3}=\frac{36}{12}\]
\[4 \ne 3\]
So this ain't a geometric series

Answer 2

In a geometric sequence you get the (n+1)'th term by multiplying the n'th term by the common ratio r.To test if 3,12,36 ... are the terms of a geometric sequence we calculate the common ratio for 3 and 12 ,and 12 and 36. Thus:

r = 12/3 = 4 and r = 36/12 = 3

Since 4 does not equal 3 there is not a constant common ratio and hence this is not a geometric sequence

Answer 3

oh okay thanks guys!! :)

Answer 4

yw