olive4945
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PLEEEEASEEEE HELP ASAP its an emergency,,,, WILL MARK BRAINLIEST

John has taken out a loan for college. He started paying off the loan with a first payment of $100. Each month he pays, he wants to pay back 1.1 times as the amount he paid the month before. Explain to John how to represent his first 20 payments in sigma notation. Then explain how to find the sum of his first 20 payments, USING COMPLETE SENTENCES. Explain why this series is convergent or divergent.

Respuesta :

Areena12
____ heya mate_____


here is full solution


John's payments are
month 1: $100
month 2: $100*(1.1)
month 3: $100*(1.1)²
month 4: $100*(1.1)³

...

The payments form the geometric sequence 
a, ar, ar², ..., arⁿ
where
a = $100
r = 1.1

The sum of the first n terms is


Therefore the sum of the first 20 payments is
S₂₀ = [$100(1 - 1.1²⁰)]/(1 - 1.1)
     = $5727.50

John makes a total of $5727.50 in the first 20 payments.



HOPE THIS WILL HELP U!!,!!! :-) :-) :-) :-) :-)
x=47 it is 47 because 20-20 =0 but if you have square root it make sense 

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