Kelvin is expected to pay a total of $1968300 on his mortgage with his bank. He is expected to make an initial monthly payment of $150 after which his monthly payment will be triple the amount of the previous month. How many months will it take him to fully repay the mortgage?
Choose the correct choice from the following options
A) 10 B) 13 C) 10 D) 9 E) 11
First payment--$150   Total amount to be repaid--$285000   First month payment--$150   Second month payment( triple the previous month payment)--$150*3=$300   Third month payment( triple the previous month payment)--$300*3=$900   Fourth month payment( triple the previous month payment)--$900*3=$2700   Fifth month payment( triple the previous month payment)--$2700*3=$8100   Sixth month payment( triple the previous month payment)--$8100*3=$24300   Seventh month payment( triple the previous month payment)--$24300*3=$72900   Eight month payment( triple the previous month payment)--$72900*3=$218700   Ninth month payment( triple the previous month payment)--$218700*3=$656100   Tenth month payment( triple the previous month payment)--$656100*3=$1968300   Answer is 10
<result>C</result>
Kelvin is expected to pay a total of $1968300 on his mortgage with his bank. He is expected to make an initial monthly payment of $150 after which his monthly payment will be triple the amount of the previous month. How many months will it take him to fully repay the mortgage?