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3. Find the sum ofthe innite geometric series 16 +4 +1 + [1.25 + Q. Prove by mathematical induction that 4 + B + 12

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3. Find the sum ofthe innite geometric series 16 +4 +1 + [1.25 + Q. Prove by mathematical induction that 4 + B + 12 + + 4n = 2n(n + 1]. Be sure to establish a basis fer induction and cleany show your steps. For 10 and 11. use the binomial formula to expand each expression. 1o. {21 233 11. Find the at\" term of {3a + any 12. How many 4-character codes are possible if you use two letters and twp numbers and don't repeat any letters or numbers. 13. How many different starting line-ups can be created from a basketball team of 12 players if a starting line-up consists of 5 players and the order of the line-up matters

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