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 March 4th, 2019, 09:14 PM #1 Senior Member   Joined: Mar 2019 From: iran Posts: 318 Thanks: 14 what is the value of 1/2 + 1/2×3 + 1/2×3×5 + 1/2×3×5×7 + ... = 1/2 + 1/6 + 1/30 + 1/210 + ...
 March 4th, 2019, 10:42 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,553 Thanks: 1403 it apparently comes out to around 0.7 Do you have some reason to suspect it has a nice closed form?
March 4th, 2019, 11:04 PM   #3
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Quote:
 Originally Posted by youngmath 1/2 + 1/2×3 + 1/2×3×5 + 1/2×3×5×7 + ... = 1/2 + 1/6 + 1/30 + 1/210 + ...
Being a stickler for parens, I will note for the sake of any impressionable students that 1/2 x 3 = 3/2; and that the OP means 1/(2x3); and likewise for the other terms.

The rule is that multiplication and division have equal precedence; and are evaluated left to right.

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