Find Tn for each arithmetic sequence:
5, -1, -7, ...
plz give me detailed walkthrough if possible
2007-03-05 17:08:04 · 3 answers · asked by helpmeee 1 in Education & Reference ➔ Homework Help
subtract six/add negative six from/to each number
5, -1, -7, -13, -19, -25, -31, -37, -43, -49, -55...
2007-03-05 17:13:04 · answer #1 · answered by ItsScriptural 3 · 0⤊ 0⤋
Notice how for each sequential value, you are reducing it by 6. The formula for your sequence is:
11-6n
Where n here refers to 1st, 2nd, 3rd etc numbers. Just plug in the "n" depending on which number you want. For example, in your sequence, I want to find out the 110th number. If you had to do it by hand it would take forever. But using my formula it is easy as cake:
11-6*110=-93
How did I come up with that nifty formula. Well, I knew the first value had to be 5, and I also knew I was subtracting 6. From what value can I take away 6 and get 5? 11, right? I also knew that as you went along in the sequence, you were taking away -6 each time you repeated the pattern n times, or -6*n. Thus I get
11-6n
2007-03-06 01:20:15 · answer #2 · answered by bloggerdude2005 5 · 0⤊ 0⤋
subtract 6 from each number.....
-13, -19
2007-03-06 01:11:04 · answer #3 · answered by PAT A 2 · 0⤊ 0⤋