Matematika

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1 Jawaban

  • #14

    Dik. Barisan deret aritmatika :
    u1= 10 & u28 = 91.
    Dit. Beda (b) ?

    Jawab...

    a = 10
    u28 = a + 27b 
    91 = 10 + 27b
    91 - 10 = 27b
    81 = 27b
    b = 81/27
    b = 3         ................... (B)

    #15 

    Dik. Barisan deret aritmatika :
    -98, -95, -92, -89, ....
    Dit. S50 ?

    Jawab...

    a = -98
    b = u2 - u1 = -95 - (-98) = 3

    Sn = n/2 (2a + (n - 1) b)
    S50 = 50/2 (2(-98) + (49) (3))
    S50 = 25 (-196 + 147)
    S50 = 25 (-49)
    S50 = -1225 .......................     (B)

    #13 

    Dik. barisan deret aritmatika :
    3, 11/2, 8, 21/2 , ..... 98 atau a = 3 b = u2 - u1 = 5/2 & Un = 98.
    Dit. u31 ?

    Jawab...

    u31 = a + 30b
    u31 = 3 + 30 (5/2)
    u31 = 3 + 75
    u3 = 78 ......................................   (B)


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