1. Do you think \(1+1/2^2+1/3^2+...+1/n^2\) converges or diverges as \(n\rightarrow \infty\)? Use R to verify your answer.
  2. Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13,… What is the next number? What is the 50th number? Creat a vector of first 30 Fibonacci numbers.
  3. Write a function that can either calculate the summation of the serie in Question 1 or generate and print Fibonacci sequence in Question 2.

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