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Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4688: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3823) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4690: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3823) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4691: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3823) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4692: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3823) forum.virtualchallengemeets.com • View topic - MATH PROBLEM
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1. The sequence is [unparseable or potentially dangerous latex formula] where P denotes the prime numbers. [unparseable or potentially dangerous latex formula], so 29 is your last term and your next term is 31. [unparseable or potentially dangerous latex formula]
2. Since it seems that you are dividing by 0, and have an imaginary number in all the denominators, I'm going to assume you meant to write factorials. In that case this is the Maclaurin series for the exponential function.
[unparseable or potentially dangerous latex formula]
Here x=5,
[unparseable or potentially dangerous latex formula]
For the 89, you can plug in the summation from 0 to infinity of the series and it should give you the function.
Example: sum((-1)^x*t^(2x+1)/((2x+1)!),x,0,[unparseable or potentially dangerous latex formula]) will churn out [unparseable or potentially dangerous latex formula]
To be honest though, there's only a couple of really common ones you have to memorize, so I don't think there's any worth in the above.