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#### mathworker

##### Well-known member

- May 31, 2013

- 119

they are the numbers of sequence whose \(\displaystyle t_n=t_{n-1}+t_{n-2}\) and \(\displaystyle t_0=t_1=1\)

\(\displaystyle \text{PROVE THAT:}\)

$$1+S_n=t_{n+2}$$

where,

$$S_n=\text{sum up-to n terms}$$

$$t_n=\text{nth term}$$