The nature of the graph of a geometric sequence in which r is positive but not equal to 1 is:

Question

a) linear

b) exponential

c) quadratic

d) logarithmic

Answer 1

a, ar, ar^2, ...

such as a=3, r= 2 is the sequence 3, 6, 12, 24, ... doubling for each term

if r = 1, the sequence terms don't change, just a, a, a, ....

for r<1 such as r=1/2 and a=3

the sequence is 3, 3/2, 3/4, 3/8, .....with each term half the preceding term

for r not = 1, the sequence is not linear

exponential best describes it

as the sequence is ar^0, ar^1, ar^2, ar^3.....with the exponent of r increasing by 1 for each term