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Bab Pola BilanganMatematika SMP Kelas VII
jumlah bilangan asli berurutan = 1/2 x n x (n + 1)
11 + 12 + 13 + ... + 209 + 210 = ?
bisa diubah menjadi
11 + 12 + 13 + ... + 200 + (1 + 200) + (2 + 200) + (3 + 200) + (4 + 200) .+ .... +(10 + 200) = ?
1 + 2 + 3 + ... + 200 = 1/2 x 200 x (200 + 1) = 100 x 201 = 20.100
200 x 10 = 2.000
jumlah seluruh = 20.100 + 2.000 = 22.100