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Simplify: 1 1/2*1 1/3*1 1/4*1 1/5*1 1/6*...*1 1/n
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10 votes
Simplify: 1 1/2*1 1/3*1 1/4*1 1/5*1 1/6*...*1 1/n

User Nckturner
by
2.7k points

2 Answers

8 votes

Answer:

0.5(n+1)

Explanation:

(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)

= (3/2)(4/3)(5/4)...[(n+1)/n]

= 0.5(n+1).

User Brainydexter
by
2.7k points
10 votes

Explanation:

(1 + 1/2)(1 + 1/3)(1+ 1/4)...(1 + 1/n)

= (3/2)(4/3)(5/4)...[(n+1)/n]

= 0.5(n+1).

User Merkost
by
3.3k points
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