Matematika

Pertanyaan

no. 2-4 saja jawab tepat
no. 2-4 saja jawab tepat

1 Jawaban

  • jawab

    2) tiga suku berikutnya
    1, 5, 9
    (bertambah tetap 4)
    1, 5, 9, (13), (17), (21)

    b)
    4, 16, 36, 64,..
    (2²), (4²), (6²), (8²), (10²), (12²) , (14²) 
    = 4, 16, 36, 64, 100, 144, 196

    (3)
    a.  1+3+..+25 , un = 2n -1
    25 = 2n -1
    n = 13

    13
    Σ  2k- 1
    k= 1

    b. 2 + 4 +...50 , un= 2n
    2n = 50 
    n= 25

    25
    Σ 2k
    k= 1

    c. 1/(1+1) + 2/(2+1) + 3/(3+1) +...+ (75/76), un= n/(n+1)
    n = 75

    75
    Σ  k/(k+1)
    k = 1

    (4)
    a.
    uk = 4 - 2k
    k = (1,2,3,4,5)
    k =1 , uk = 2
    k = 2 , uk = 0
    k = 3, uk = -2
    k = 4, uk = -4
    k = 5 , uk = -6
    jumlahkan semua  = -10

    b. 
    uk = 1/(k+2)
    k = (1,2,..,10)
    k = 1 , uk = 1/3
    k = 2 , uk = 1/4
    nilai = 1/3 + 1/4 + 1/5 + ...+ 1/12
    1/3 + 1/5 + 1/7 +1/9 +1/11 =  7/8
    1/4 + 1/6 + 1/8 + 1/10 + 1/12 = 29/40
    jumlah  7/8 + 29/40 = 64/40= 8/5

    4c
    uk = k(k+1)(k+2)
    k = 1,2,3,4,5,6
    k = 1, uk = 1(2)(3) = 6
    k = 2 , uk = 2(3)(4)= 24
    k = 3 ,uk= 3(4)(5) = 60
    k = 4, uk = 4(5)(6)= 120
    k= 5, uk = 5(6)(7) = 210
    k = 6, uk = 6(7)(8)= 336
    jumlahkan = 756