Respuesta :

Answer:

a5 = 2604

Step-by-step explanation:

a1 = 4

a2 = -5(4)-1 = -21

a3 =-5(-21)-1 = 104

a4 = -5(104)-1 =-521

a5 =-5(-521)-1 = 2604

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:a1 = 4[/tex]

Now, let's proceed next till we get[tex] \tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{(2 - 1)}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 4a_{1}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = (- 4 \times 4)_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 16_{}+ 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_2 = - 11[/tex]

Similarly,

[tex]\qquad \tt \dashrightarrow \: a_3 = 49[/tex]

[tex]\qquad \tt \dashrightarrow \: a_4= - 191[/tex]

Now, let's solve for [tex]\tt a_5 [/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= - 4( - 191) + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 764 + 5[/tex]

[tex]\qquad \tt \dashrightarrow \: a_5= 769[/tex]