Răspuns:
[tex]\boxed{\boxed{\it T_{16} = 30}}[/tex]
[tex]\boxed{\boxed{\it T_{n} = 2\cdot (n-1)}}[/tex]
Explicație pas cu pas:
(✿◡‿◡)Salutare!
[tex]\it 0, 2, 4, 6, 8, ......... , 2n~~,unde~ n\in \mathbb{N}[/tex]
[tex]\it T_{1} = 0~\xrightarrow[a~termenului]{alta~scriere}~T_{1} = 2\cdot (1-1)[/tex]
[tex]\it T_{2} = 2~\xrightarrow[a~termenului]{alta~scriere}~T_{2} = 2\cdot (2-1)[/tex]
[tex]\it T_{3} = 4~\xrightarrow[a~termenului]{alta~scriere}~T_{3} = 2\cdot (3-1)[/tex]
[tex]\it T_{4} = 6~\xrightarrow[a~termenului]{alta~scriere}~T_{4} = 2\cdot (4-1)[/tex]
[tex]\it T_{5} = 8~\xrightarrow[a~termenului]{alta~scriere}~T_{5} = 2\cdot (5-1)[/tex]
[tex]\it T_{6} = 10~\xrightarrow[a~termenului]{alta~scriere}~T_{6} = 2\cdot (6-1)[/tex]
[tex]\it..............................................[/tex]
[tex]\boxed{\boxed{\it T_{n} = 2\cdot (n-1)\rightarrow forma~termenului~general}}[/tex]
[tex]\it T_{16} = 2\cdot (16-1)\implies T_{16} = 2\cdot 15\implies \boxed{\boxed{\it T_{16} = 30}}[/tex]
#copaceibrainly
