\(1\,010\cdot i\cdot\left(1+i\right)^6=25\left[\left(1+i\right)^6-1\right]+1\,000\cdot i
1\,010\cdot i\cdot\left(1+i\right)^6-25\left[\left(1+i\right)^6-1\right]-1\,000\cdot i=0
f(i)=1\,010\cdot i\cdot\left(1+i\right)^6-25\left[\left(1+i\right)^6-1\right]-1\,000\cdot i
f'(i)=1\,010\left(1+i\right)^6+6\,060\cdot i\left(1+i\right)^5-150\cdot\left(1+i\right)^5-1\,000
\phi(i)=i-\dfrac{f(i)}{f'(i)}
\begin{array}{c|c|c|c}i&f(i)&f'(i)&\phi(i)\\\hline
10,000\%&59,638636&1523,669170&6,086\%\\
6,086\%&16,122671&733,676021&3,888\%\\
3,888\%&4,059488&373,388930&2,801\%\\
2,801\%&0,873518&214,763368&2,394\%\\
2,394\%&0,114878&158,553859&2,322\%\\
2,322\%&0,003567&148,715325&2,320\%\\
2,320\%&0,000004&148,390487&2,320\%\\
2,320\%&0,000000&148,390132&2,320\%\\
2,320\%&0,000000&148,390132&2,320\%\end{matrix}\)