Câu hỏi của Phan Thị Vân

Question

(1+1/49)x(1+1/50)x(1+1/51)x(1+1/52)x..............x(1+1/60)

Nguyễn Thị Thương Hoài · Accepted Answer

(1 + $\dfrac{1}{49}$)$\times$(1 + $\dfrac{1}{50}$)$\times$(1 + $\dfrac{1}{51}$)$\times$(1 + $\dfrac{1}{52}$)$\times$...$\times$(1 + $\dfrac{1}{60}$)

= $\dfrac{49+1}{49}$ $\times$ $\dfrac{50+1}{50}$$\times$ $\dfrac{51+1}{51}$$\times$$\dfrac{52+1}{52}$$\times$...$\times$$\dfrac{61}{60}$

= $\dfrac{50}{49}$$\times$$\dfrac{51}{50}$$\times$$\dfrac{52}{51}$$\times$...$\times$$\dfrac{61}{60}$

= $\dfrac{50\times51\times52\times53\times...\times60}{50\times51\times52\times53\times...\times60}$$\times$$\dfrac{61}{49}$

= $\dfrac{61}{49}$

Câu trả lời: (1 + $\dfrac{1}{49}$)$\times$(1 + $\dfrac{1}{50}$)$\times$(1 + $\dfrac{1}{51}$)$\times$(1 + $\dfrac{1}{52}$)$\times$...$\times$(1 + $\dfrac{1}{60}$)

= $\dfrac{49+1}{49}$ $\times$ $\dfrac{50+1}{50}$$\times$ $\dfrac{51+1}{51}$$\times$$\dfrac{52+1}{52}$$\times$...$\times$$\dfrac{61}{60}$

= $\dfrac{50}{49}$$\times$$\dfrac{51}{50}$$\times$$\dfrac{52}{51}$$\times$...$\times$$\dfrac{61}{60}$

= $\dfrac{50\times51\times52\times53\times...\times60}{50\times51\times52\times53\times...\times60}$$\times$$\dfrac{61}{49}$

= $\dfrac{61}{49}$

Phan Thị Vân · Answer

cảm ơnCâu trả lời: cảm ơn

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