Question

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

Answer 1

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

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

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

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

= \(\dfrac{61}{49}\)

 

Answer 2

cảm ơn