You save $1 the first day of the month, $2 the second day, $4 the third day, continuing to double your savings each day. what will your savings be for the first 15 days?

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1. In order to calculate the total sum for the first 15 days, it need to calculate the sum of the first 15 terms of the geometric sequence: 1; 2; 4; 8; 16;... etc.2. using the formula (a₁=1; q=2; n=15):[tex]S= \frac{a_1*q^n-a_1}{q-1} [/tex][tex]S= \frac{1*2^{15}-1}{2-1}=2^{15}-1=32768-1=32767[/tex]
answer: 32767 $

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You save ​$1 the first day of the​ month, ​$2 the second​ day, ​$4 the third​ day, continuing to double your savings each day. what will your savings be for the first 15 ​days?

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You save $1 the first day of the month, $2 the second day, $4 the third day, continuing to double your savings each day. what will your savings be for the first 15 days?