1. Tính nhanh: b, 3/1x4 + 3/4x7 + 3/7x10 + .....+ 3/2020x2023 c, 5/14 + 5/84 + 5/204 + 5/374 d, 2/15 + 2/35 + 2/63 +.....+ 2/2021x2023
1 câu trả lời
Bài 1
Đáp án:
A = 31 × 4 + 34 × 7 + 37 × 10 + ... + 397 × 100
A = 1 − 14 + 14 − 17 + 17 − 110 + ... + 197 − 1100
A = 1 − 1100
A = 99100
B = 31 × 3 + 33 × 5 + 35 × 7 + ... + 399 × 101
B = 32 × (1 − 13 + 13 − 15 + 15 − 17 + ... + 199 − 1101)
B = 32 × (1 − 1101)
B = 32 × 100101
B = 150101
C = 11 × 4 + 14 × 7 + 17 × 100 + ... + 152 × 55
C = 13 × 3 × (11 × 4 + 14 × 7 + 17 × 100 + ... + 152 × 55)
C = 13 × (31 × 4 + 34 × 7 + 37 × 10 + ... + 352 × 55)
C = 13 × (1 − 14 + 14 − 17 + 17 − 110 + ... + 152 − 155)
C = 13 × (1 − 155)
C = 13 × 5455
C = 1855
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