Luiza's savings account had

$

50

$50dollar sign, 50 in its first year. Each year since then, her account accumulated interest amounting to

15

%

15%15, percent of the balance in the previous year.

Let

g

(

n

)

g (n) g, left parenthesis, n, right parenthesis be Luiza's account balance at the

n

th

n

th

n, start superscript, start text, t, h, end text, end superscript year of the saving.

g

gg is a sequence. What kind of sequence is it?

Answer: g is a geometric sequence.

Step-by-step explanation:

Each year since then, her account accumulated interest amounting to

15% of the balance in the previous year.

15% = 15/100 = 0.15

Since the balance is increasing each year, then the constant factor by which it is increasing is 1 + 0.15 = 1.15.

This factor of 1.15 is a common ratio. This means that the sequence is a geometric sequence since it is increasing by a common ratio.