The first installment is of Rs 2 and last is of Rs 13122 calculated using the geometric Series Formulae.
Let us take x as the first installment.
The second installment will be 3x as per the given statement in the question.
So likewise the installment will be increasing 3 times each in every installment. It forms geometric series.
[tex]x+3x+9x+12x.....+3^{9-1}[/tex]= 19682----------Eq 1
[tex]x(1-3^{9} )/1-3[/tex] =19682
Sum : Sn= a1 (1-[tex]r^{n}[/tex])/(1-r)
= x(1-[tex]3^{9-1}[/tex])/1-3
Taking - sign common from it
= [tex]3^{9} -1 /2=19682[/tex]
9841 x=19862
x=2
According to the last term in the Eq 1 it is equal to = [tex]3^{9-1} .2[/tex]=13122
So the first installment is of Rs 2 and last is of Rs 13122.
You can find more about geometric series: https://brainly.com/question/10727576
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