Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1)=1, Fib(2)=1, Fib(3)=2, and so on. Write your complete solution on the space provided. Determine the pattern in the successive sums from the previous question. What will be the sum of Fib(1) + Fib(2) + ... + Fib(10)?  Answer completely. Write your responses on the space provided below.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1)=1, Fib(2)=1, Fib(3)=2, and so on. Write your complete solution on the space provided.

  1. Determine the pattern in the successive sums from the previous question. What will be the sum of Fib(1) +
    Fib(2) + ... + Fib(10)?  Answer completely. Write your responses on the space provided below.
  2.  If you have a wooden board that is 0.75 meters wide, how long should you cut it such that the Golden
    Ratio is observed? Use 1.618 as the value of the Golden ratio.
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