JawabA = 2 + 4 + ... + 98 + 100 → 50 sukuA = 100 + 98 + ... + 4 + 2Jumlahkan 2A = 102 + 102 + ... + 102 + 1022A = 102 × 50A = 102 × 50/2A = 2550•B = (-1 + 2) + (-3 + 4) + ... + (-99 + 100) → 50 pasangB = 1 + 1 + .. + 1B = 1 × 50B = 50•C = -100 - 99 - ... - 1 + 0 + 1 + .. + 99C = -100 + (-99 + 99) + ... + (-1 + 1)C = -100 + 0 + ... + 0C = -100
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Jawab
A = 2 + 4 + ... + 98 + 100 → 50 suku
A = 100 + 98 + ... + 4 + 2
Jumlahkan
2A = 102 + 102 + ... + 102 + 102
2A = 102 × 50
A = 102 × 50/2
A = 2550
•
B = (-1 + 2) + (-3 + 4) + ... + (-99 + 100) → 50 pasang
B = 1 + 1 + .. + 1
B = 1 × 50
B = 50
•
C = -100 - 99 - ... - 1 + 0 + 1 + .. + 99
C = -100 + (-99 + 99) + ... + (-1 + 1)
C = -100 + 0 + ... + 0
C = -100