Chapter 1.2A, Problem 20A

To determine

a.

The term for which the sum of the first three terms are one less than that term, where sequence starts with $1$ and $1$ as the first two terms of the Fibonacci sequence.

To determine

b.

The term for which the sum of the first four terms is one less than that, where sequence starts with $1$ and $1$ as the first two terms of the Fibonacci sequence.

To determine

c.

The term for which the sum of the first five terms is one less than that term, where sequence starts with $1$ and $1$ as the first two terms of the Fibonacci sequence.

To determine

d.

The conjecture regarding the sum of the first $n$ terms of the sequence.

To determine

e.

The sum of the first $n-2$ terms of the sequence if $F_1+F_2+F_3+\cdots +F_n=F_{n+2}-1$.