tính nhanh :
a) 2/2×3 + 2/3×4 + 2/4×5 +…+2/99×100
B) 1/3 + 1/6 + 1/12 + 1/24 + 1/48 + 1/96
c) 1/3 + 1/9 + 1/ 27 + 1/81 + 1/243 + 1/729
giúp mình 3 câu này xong tick 5 sao , 1 cảm ơn
tính nhanh :
a) 2/2×3 + 2/3×4 + 2/4×5 +…+2/99×100
B) 1/3 + 1/6 + 1/12 + 1/24 + 1/48 + 1/96
c) 1/3 + 1/9 + 1/ 27 + 1/81 + 1/243 + 1/729
giúp mình 3 câu này xong tick 5 sao , 1 cảm ơn
Đáp án:
A=1/3+1/6+1/12+1/24+1/48+1/96
⇒3A=1+1/2+1/4+1/8+1/16+1/32
b,⇒3A=1+1/2+1/4+1/8+1/16+1/32⇒3A=1+1/2+1/4+1/8+1/16+1/32
⇒3A=1+1−1/2+1/2−1/4+1/4−1/8+1/8−1/16+1/16−1/32⇒3A=1+1−1/2+1/2−1/4+1/4−1/8+1/8−1/16+1/16−1/32
⇒3A=1+1−1/32⇒ 3A=1+1−1/32
⇒3A=2−1/32⇒3A=2−1/32
⇒A=(2−1/32):3=21/32
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