My Math Forum Sequences and series. True or false?

 Calculus Calculus Math Forum

 October 11th, 2012, 07:06 PM #1 Newbie   Joined: Oct 2012 Posts: 1 Thanks: 0 Sequences and series. True or false? Can anybody help me determine wether or not these statements are true or false? I've tried multiple combinations and can't get it right. :/ 1. All infinite arithmetic series with d not equal to 0 diverge. 2. Suppose an is an arithmetic sequence with d0. Then the sum of the series a1+a2+a3+...+a12 must be positive. 3. An infinite sum is equal to the limit of the sequence of partial sums. 4. An infinite geometric series must converge if r<1.
 October 12th, 2012, 03:16 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,373 Thanks: 2010 1.  True 2.  False 3.  True 4.  False
 October 12th, 2012, 03:10 PM #3 Global Moderator   Joined: May 2007 Posts: 6,704 Thanks: 670 Re: Sequences and series. True or false? 4. is true for |r| < 1: answer is a/(1-r), where a is the first term.

 Tags false, sequences, series, true

,

,

,

,

### arthametic progression true or false

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post ZardoZ Calculus 2 May 8th, 2013 10:18 AM bOw Algebra 2 May 27th, 2012 12:39 PM sam_17 Abstract Algebra 12 March 29th, 2012 02:27 PM stix_1987 Calculus 1 June 19th, 2008 10:20 AM sam_17 Algebra 10 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top