Respuesta :
Answer: 3 and 6 will be the first and second term of the given series respectively.
Explanation: since it is given- [tex]a_n=(a_{n-1} )^2-a_{n-1}[/tex] and [tex]a_4=870[/tex]
so, by replacing n by 4, we will get- [tex]a_4=a_3^2-a_3[/tex]⇒870= [tex]a_3^2-a_3[/tex]⇒ [tex]a_3^2-a_3-870=0[/tex]
after solving this equation we will get, [tex]a_3= -29[/tex] and 30.
If [tex]a_3= -29[/tex], but it is not a whole number.
Thus,[tex]a_3=30[/tex] will be the value of third term of the given series.
Again, by applying the given condition [tex]a_n=(a_{n-1} )^2-a_{n-1}[/tex], [tex]a_2= 6[/tex] or -5 (not possible), so, [tex]a_2=6[/tex] will be the second term.
Similarly, [tex]a_1=3[/tex] or -2 but we will go to the whole number.
Thus, [tex]a_1=3[/tex] will be the first term.
