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your family gives you $3 on the first day, $3.50 on the second, $4 on the third, and so on, increasing by 50 cents per day. In a month with 31 days, how much money would you have by the end of the month?

Respuesta :

xbadgerbearx
325.5 if I did my math right

Answer:

325.5 $

Step-by-step explanation:

series is 3+3.5 +4 +4.5 + .............31 TERMS

THIS IS CLEARLY AN AP (ARITHMETIC PROGRESSION)

FIRST TERM = a = 3

number of terns = n = 31

common difference = d = 0.5

sum of n terms = Sn = ?

formula is Sn = (n/2){ 2a +(n-1)d}

 Sn = (31/2){2×3 +(31-1)(0.5)}

Sn = (15.5)(6+30×0.5)

Sn= (15.5)(6+15)

Sn = 15.5×21

Sn = 325.5 $

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