Probability Dice Problem! Help Me

UNSOLVED!

"Megan is selected to play a Megamillions game in which she can win a potentially unlimited amount of money. In this game, she repeatedly rolls a fair six-sided die, and the game ends as soon as she rolls a six. If roll 0 is a six, then she wins nothing; if roll 1 is a six, then she wins a total of 1^2 = 1 dollar; if roll 2 is a six, then she wins a total of 2^2=$4; and so on. What is the expected value of her winnings, in dollars?"

If anyone can help me figure this out that would be amazing!

Posted May 15, 2016, 8:27 PM UTC · edited

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