\(P=1+5^3+5^6+5^9+................+5^{99}\)
\(\Leftrightarrow5^3P=125P=5^3+5^6+5^9+...............+5^{99}+5^{102}\)
\(\Leftrightarrow125P-P=\left(1+5^3+..........+5^{99}\right)-\left(5^3+5^6+...............+5^{102}\right)\)
\(\Leftrightarrow124P=5^{102}-1\)
\(\Leftrightarrow P=\dfrac{5^{101}-1}{124}\)
2. Tính
\(P=1+5^3+5^6+5^9+...+5^{99}\)
2. Tính
\(P=1+5^3+5^6+5^9+.......+5^{99}\)
Cho A = 1 + 2 - 3 - 4 + 5 + 6 - ... - 99 - 100
a) A có chia hết cho 9 , cho 3 , cho 5 không ?
b) A có bao nhiêu ước nguyên , bao nhiêu ước tự nhiên ?
Cho A= 1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + ... + 1/99 + 1/100. Chứng tỏ 7/12 < A <5/6
1. | 4-2x | . 1/3 = 1/3
2. (-3)² : | x+(-1) | = (-3)
3. | 3/2 -x | + (-4/5) = -14/5
4. (-4/3) - | 2x + (-1) | = -7/3
5. -9 . | 36 - x/2 | = (-54)
6. 0,75 - | (-x) + 1/3 | = 0,25
7. (-6/5) + | x-9 |= (-6/5)
8. (-4) . | 3x - 1/5 | = 12
Tính giá trị biểu thức :
\(\dfrac{1}{2}-\left(\dfrac{1}{3}+\dfrac{2}{3}\right)+\left(\dfrac{1}{4}+\dfrac{2}{4}+\dfrac{3}{4}\right)-\left(\dfrac{1}{5}+\dfrac{2}{5}+\dfrac{3}{5}+\dfrac{4}{5}\right)+\left(\dfrac{1}{6}+\dfrac{2}{6}+\dfrac{3}{6}+\dfrac{4}{6}+\dfrac{5}{6}\right)-\left(\dfrac{1}{7}+\dfrac{2}{7}+\dfrac{3}{7}+\dfrac{4}{7}+\dfrac{5}{7}+\dfrac{6}{7}\right)+...+\left(100+...+\dfrac{99}{100}\right)\)
Hãy điền các dấu +,-,x,:,( ), ngoặc vuông, ngoặc nhọn,... để kết quả là -1
1...2...3...4=-1
1...2...3...4...5=-1
1...2...3...4...5...6=-1
1...2...3...4...5...6...7=-1
1...2...3...4...5...6...7...8=-1
1...2...3...4...5...6...7...8...9=-1
1...2...3...4...5...6...7...8...9...10=-1
1.
(n+5) chia hết cho (n-2)
(2n+1)chia hết cho(n-5)
2.
S=1+2-3-4+5+6-7-8+.....-99-100
1+2-3-4+5+6-7-8+....+97+98-99-100
