His first payment is $100, thus a₁ = 100.
the next "term", month will be 1.1 times more than the one before, namely r = 1.1, the common ratio.
is the serie divergent or convergent?
well, to make it short, when the common ratio is 0 < | r | < 1, namely a fraction between 0 and 1, only then the serie is convergent, namely it reaches a fixed value, now in this case, 1.1 is a value larger than anything between 0 and 1, so no dice.
The candle would be 4.5 inches tall after three hours.
Well first you have to solve for the 1st year so 200*.03, .03 represents the 3%. Which would equal 6 dollars so after the 1st year he would have 200+6=206.
Now you do the second year so do 206*.03, which would equal 6.18 so 206+6.18=212.18
Answer= 212.18