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27 October, 03:40

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

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  1. 27 October, 04:09
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    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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