To save money for a video game you put $1 in an envelope each day for 5 days you double the number of dollars in the envelopes from the day before how much have you saved after 5 days

Answer:you would have saved $31 after 5 days

Step-by-step explanation:

You double the number of dollars in the envelopes from the day before. This means the amount in a day is double the amount in the previous day. Therefore, amount of money in the envelope is increasing in geometric progression. The formula for determining the sum of n terms of a geometric sequence is expressed as

Sn = a (r^n - 1) / r - 1

Where

a represents the first term.

r represents the common ratio.

From the information given,

a = 1

r = 2

n = 5 days

S5 = 1 (2^5 - 1) / 2 - 1

S5 = 32 - 1 = 31