

2. Tính giá trị biểu thức: M=(- 3/2 )^2+(- 3/2 )^3+(- 3/2 )^4+...+(- 3/2 )^100
Hãy luôn nhớ cảm ơn và vote 5*
nếu câu trả lời hữu ích nhé!
Đáp án + Giải thích các bước giải:
`A = (-3/2)^2 + (-3/2)^3 + ... + (-3/2)^100`
`=> (-3)/2A = (-3/2)^3 + (-3/2)^4 + ... + (-3/2)^101`
`=> (-5)/2A = (-3/2)^101 - (-3/2)^2`
`=> (-5)/2A = (-3/2)^101 - (3/2)^2`
`=> A = [(-3/2)^101 - 9/4] * (-2)/5`
`=> A = (-3/2)^101 * (-2)/5 + 9/4 * 2/5`
`=> A = (-3/2)^101 * (-2)/5 + 18/20.`
`=> A = (-3/2)^101 * (-2)/5 + 9/10.`
`=>` Vậy `A = (-3/2)^101 * (-2)/5 + 9/10.`
Hãy giúp mọi người biết câu trả lời này thế nào?
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