Matematika

Pertanyaan

Apa maksud no 3?
Tolong jawab saya lagi perlu bukan PR
Apa maksud no 3? Tolong jawab saya lagi perlu bukan PR

1 Jawaban

  • Barisan dan Deret
    IX SMP

    a. 1 + 3 + 5 +7 + ..... +99

    U1 = 1
    b = 2
    Un = 99

    Un = U1 + (n-1) b
    99 = 1 + (n -1) 2
    99 = 1 + 2n - 2
    99 = 2n - 1
    99 + 1 = 2n
    100 = 2n
    50 = n

    Sn = n/2 ( 2.U1 + (n -1) b)
    S50 = 50/2 ( 2.1 + ( 50 -1) 2)
    S50 = 25 ( 2 + ( 49) 2)
    S50 = 25 ( 2 + 98 )
    S50 = 25 ( 100 )
    S50 = 2500

    c. -100 - 99 - 98 - .... - 2 ... + 50

    U1 = -100
    b = 1
    Un = 50

    Un = U1 + (n -1) b
    50 = -100 + ( n - 1) 1
    50 = -100 + n - 1
    50 = n - 101
    50 + 101 = n
    151 = n

    Sn = n/2 ( 2.U1 + (n-1) b)
    S151 = 151/2 ( 2(-100) + (151 - 1) 1)
    S151 = 75,5 ( -200 + 150 )
    S151 = 75,5 ( -50)
    S151 = -1510 => Kenapa minus ? karena deretan minus lebih banyak daripada deetan positifnya