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maw [93]
3 years ago
13

Johann borrows money from his parents to purchase a bike. He makes weekly payments to his parents to repay the money borrowed. T

he amount of money repaid can be represented using the recursive formula an=50+an-1. During the fourth week, Johann repaid his parents $175. How much total had Johann repaid after the first week, a1?
Mathematics
2 answers:
Minchanka [31]3 years ago
6 0
The correct answer is $25
Ilia_Sergeevich [38]3 years ago
6 0

Answer: $ 25

Step-by-step explanation:

Given: The amount of money repaid can be represented using the recursive formula a_n=50+a_{n-1}, where n is the number of week.

Since during the fourth week, Johann repaid his parents $175.

Thus, a_4=50+a_3

\Rightarrow175=50+a_3\\\Rightarrow\ a_3=175-50=125

Now,  a_3=50+a_2

\Rightarrow125=50+a_2\\\Rightarrow\ a_2=125-50=75

a_2=50+a_1

\Rightarrow75=50+a_1\\\Rightarrow\ a_1=75-50=25

Hence, the total which Johann had repaid after the first week = $ 25

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We have the equation:

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