Question

5/2+ 5/4 + 5/8 + 5/16 + 5 /32 + 5/64

ghi cach lam cu the

Answer 1

5/2 + 5/4 + 5/8 + 5/16 + 5/32 + 5/64 

= 5(1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64)

Đặt A = 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 - 1/64

=> A = 1 - 1/64

Do đó : 5(1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64) = 5(1 - 1/64) = 5 . 63/64 = 315/64 

Answer 2

nhanh len gium minh duoc ko

Answer 3

\(2A=5+\frac{5}{2}+\frac{5}{4}+\frac{5}{8}+\frac{5}{16}+\frac{5}{32}.\)

\(A=2A-A=5-\frac{5}{64}=\frac{315}{64}\)

Answer 4

\(A=5\cdot\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\right)\)

\(A=5\cdot\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}+\frac{1}{16}-\frac{1}{32}+\frac{1}{32}-\frac{1}{64}\right)\)

\(A=5\cdot\left(1-\frac{1}{64}\right)\)

\(A=5\cdot\frac{63}{64}\)

\(A=\frac{315}{64}\)

Answer 5

315/64

Answer 6

ai k minh roi minh k lai