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Toán Lớp 6: P = 3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64 – 7

Home/ Toán Lớp 6: P = 3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64 – 7

Toán Lớp 6: P = 3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64 – 7

Madelyn Tháng Một 13, 2023 Toán học 1 Comment 0 views

Toán Lớp 6: P = 3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64 – 7

Comments ( 1 )

aivilanlan
13 Tháng Một, 2023 at 7:52 chiều

Reply

Giải đáp:

text(P)=(-1)/64

Lời giải và giải thích chi tiết:

$\rm\#Japanese$

text(P)= 3/2 + 5/4 + 9/8 + 17/16 + 33/32 + 65/64 – 7

=>text(P)=(1+1/2)+(1+1/4)+(1+1/8)+(1+1/16)+(1+1/32)+(1+1/64)-7

=>text(P)=6+(1/2+1/4+1/8+1/16+1/32+1/64)-7

=>text(P)=6+(underbrace(1/2+1/4+1/8+1/16+1/32+1/64)_(text(A)))-7

=>A=1/2+1/4+1/8+1/16+1/32+1/64

=>2A=2.(1/2+1/4+1/8+1/16+1/32+1/64)

=>2A=1+1/2+1/4+1/8+1/16+1/32

=>2A-A=(1+1/2+1/4+1/8+1/16+1/32)-(1/2+1/4+1/8+1/16+1/32+1/64)

=>A=1-1/64

=>text(P)=6+(1-1/64)-7

=>text(P)=6+1-1/64-7

=>text(P)=7-1/64-7

=>text(P)=(-1)/64

Vậy text(P)=(-1)/64.

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