masunakiri masunakiri
  • 15-04-2022
  • Mathematics
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If a1= 7 and an = -4an-1 + n then find the value of a5

If a1 7 and an 4an1 n then find the value of a5 class=

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devishri1977
devishri1977 devishri1977
  • 15-04-2022

Answer:

a₅ = 1701

Step-by-step explanation:

[tex]a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\[/tex]

    = -4*7 + 2

    = -28 + 2

   = -26

a₃ = -4a₂ + 3

    = -4*(-26) + 3

    = 104 + 3

    = 107

a₄ = -4a₃ + 4

    = -4*107 + 4

   = -428 + 4

  = -424

a₅ = -4a₄ + 5

    = -4*(-424) + 5

    = 1696 + 5

   = 1701

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