I was asked to find an explicit formula for S n </msub> = <munderover> &#x221

Jaylene Duarte

Jaylene Duarte

Answered question

2022-05-17

I was asked to find an explicit formula for
S n = r = 1 n 1 r ( r + 1 )

Answer & Explanation

Oswaldo Rosales

Oswaldo Rosales

Beginner2022-05-18Added 16 answers

S n = r = 1 n 1 r ( r + 1 ) = 1 n ( 1 r 1 r + 1 ) = ( 1 1 1 2 ) + ( 1 2 1 3 ) + ( 1 3 1 4 ) + + ( 1 n 1 1 n ) + ( 1 n 1 n + 1 ) = 1 1 n + 1
Your answer may have failed to sum the earlier terms

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