Matematika

Pertanyaan

Deret:(1+2)+(2+3)+(3+4)+(4+5)+....+(24+25)=
a.234 b.324. c.342. d.422

1 Jawaban

  • (1+2)+(2+3)+(3+4)+(4+5)+....+(24+25)
    = 3 + 5 + 7 + 9 + ... + 49

    a = 3
    b = 5 - 3 = 2
    Un = 49

    Un = a + (n-1)b
    49 = 3 + (n-1)2
    49 = 3 + 2n - 2
    49 = 2n + 1
    2n = 49 - 1
    2n = 48
    n = 24

    Sn = n/2(a + Un)
    S24 = 24/2(3 + 49)
    S24 = 12 x 52
    S24 = 624

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