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

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

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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