Summation and Patterns Question I have a really urgent question. Today i was looking at this Patter

Arraryeldergox2

Arraryeldergox2

Answered question

2022-06-16

Summation and Patterns Question
I have a really urgent question. Today i was looking at this Pattern (Using fractions) :
1 1 3 + 1 3 5 + 1 5 7 + 1 7 9 + . . .=? The pattern is n 2 n + 1 . I was wondering if you could do a summation formula, in which the end term is infinite. Thanks for the help!

Answer & Explanation

g2joey15

g2joey15

Beginner2022-06-17Added 21 answers

Hint: This is a telescoping series. The general term is 1 ( 2 n + 1 ) ( 2 n 1 )
n = 1 1 ( 2 n + 1 ) ( 2 n 1 ) = n = 1 ( 1 2 n + 1 1 2 n 1 )
I think you can continue after that

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