“The expression is: 1²+1³+1⁴+1³+1³ …. 1⁵⁰. What is the simplified form of this expression?”
"The expression is: 1²+1³+1⁴+1³+1³ .... 1⁵⁰. What is the simplified form of this expression?"
Answer: "n+49"
"The expression involves summing 1² (once) 1³ (multiple times) and 1⁴ (once). Since 1 raised to any power equals 1 each term is 1. If the sequence has n terms with 1³ appearing 48 times (total 50 terms) the sum is 1+48+1=n+49 where n represents the total terms. This problem highlights pattern recognition in sequences relevant in number theory and algorithm design for simplifying complex expressions."
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