Applications of Geometric Sequences and Series

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Q1. Suppose that you have agreed to work for Donald Trump on a particular job for 21 days. Mr. Trump gives you two choices of payment. You can be paid $100 for the first day and an additional $50 per day for each subsequent day. Or, you can choose to be paid 1 penny for the first day with your pay doubling each subsequent day. Which method of payment yields the most income?

Payment method 1: 100, 150, 200, 250,…
Payment method 2: .01, .02, .04, .08,…

Q2. Chie and Ben decided to save for their newborn son Jack’s college education. They decided to invest $200 every 3 months in an investment earning 8% interest compounded quarterly. How much is this investment worth after 18 years?

Amount of an Ordinary Annuity after the kth Payment:

[taylahharris]

Could you please upload the video with the answers to question