A Goblin Miner earns 1 cent the first day, 2 cents the second day 4 cents the third day, 8 cents the fourth day and so on doubling the amount each day. How much will the miner earn in 7 days ? 2 Weeks? 1 Month ( Make An Estimate Before Solving) Show/ Explain All Work

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7 days is easy
1+2+4+8+16+32+64

you might notice that this is 127, one less than 2 times 64

you have \(1, 2, 2^2, 2^3, 2^4, ...\)

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