Consider the first 17 numbers of the Fibonacci sequence and observe the following pattern.
1 + 3 = 5 - 1
1 + 3 + 8 = 13 - 1
1 + 3 + 8 + 21 = 34 - 1
a. Write out the next two equations.
b. Use the pattern you observed in part (a) to predict the answer to 1 + 3 + 8 + . . . + 377.
c. Use the pattern you observed in parts (a) and (b) to predict the answer to 1 + 3 + 8 + . . . + 987.
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