Antonia is saving for a video game. on the first day, she saves two dollars in her piggy bank. each day after that, she doubles the number of dollars she saved on the previous day. how many dollars does she save on the sixth day?

she would be having $64 on the sixth day

Step-by-step explanation:

Each day,she doubles the number of dollars she saved on the previous day. This amount of money that she saves each day is increasing in a geometric progression. The formula for the nth term of a geometric progression is

Tn = ar^(n - 1)

Where

a is the first term of the sequence

r is the common ratio

n is the number of terms

To determine how much she saves on the sixth day,

n = 6

a = 2

r = 2

T6 = 2×2^(6 - 1)

T6 = 2 × 2^5

T6 = 64

1/5^2 = 7.56/45