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

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

oof

step-by-step explanation: