Diketahui suatu barisan aritmatika dengan U5=7 dan U8=13. tentukan suku ke-20.... Question from @k03

October 2018 2 639 Report

Diketahui suatu barisan aritmatika dengan U5=7 dan U8=13. tentukan suku ke-20

AnggiChintia Diketahui : U₅ = 7
      U₈ = 13
Ditanya : U₂₀ = ?
Jawab :
U₅ = a + 4b = 7 ............ (i)
U₈ = a + 7b = 13 ..........(ii)
Eliminasi (i) dan (ii)
a + 4b = 7
a + 7b = 13 -
     -3b = -6
      b = 2
Substitusi b ke (i)
a + 4b = 7
a + 4(2) = 7
    a + 8 = 7
      a = -1

Un = a + (n - 1) b
U₂₀ = -1 + (20 - 1) 2
      = -1 + (19 x 2)
      = -1 + 38
      = 37
Jadi suku ke-20 adalah 37

k03 trimakasih udah bantu jawab soalnya

AnggiChintia sama-sama

gibran1503 darimana 4b sama 7b?

lailatulfirdaus U5 = a + (n - 1) b a + 7b = 13    a + 4b = 7
7 = a + (5 - 1) b a + 4b = 7   - a + 4.2 = 7
7 = a + 4b ....... pers 1    3b = 6 a + 8   = 7
   b = 2    a = (-1)
U8 = a + (n - 1) b
13 = a + (8 - 1) b
13 = a + 7b ...........pers 2 U20 = a + (n - 1) b
   = (-1) + (20 - 1) 2
   = (-1) + 38
   = 37

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