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Alexus [3.1K]
3 years ago
7

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 f

rom the day before how much have you saved after 5 days
Mathematics
1 answer:
Klio2033 [76]3 years ago
6 0

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

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Step-by-step explanation:

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