Proving <munderover> &#x220F;<!-- ∏ --> <mrow class="MJX-TeXAtom-ORD"> i =

Sonia Ayers

Sonia Ayers

Answered question

2022-07-14

Proving i = 1 n ( 2 i 1 ) for all natural numbers

Answer & Explanation

Wade Atkinson

Wade Atkinson

Beginner2022-07-15Added 12 answers

We have,
i = 1 n ( 2 i 1 )
= 1 3 5 7 ( 2 n 1 )
= 1 3 5 7 ( 2 n 1 ) 2 4 6 2 n 2 4 6 2 n
= 1 2 3 4 2 n 2 n ( 1 2 3 n )
= ( 2 n ) ! 2 n n !

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