Coursework.Info - Inspiration in an Instant

On the left is an image preview of every page of this document, and below are the first 150 words with formatting removed:

(Investigating a Sequence of Numbers) Part 1 The sequence of numbers { an } is defined by a1 = 1 x 1! , a2 = 2 x 2!, a3 = 3 x 3!, .... Find the nth term of the sequence. n an 1 1 x 1! = 1 2 2 x 2! = 4 3 3 x 3! = 18 4 4 x 4! = 96 5 5 x 5! = 600 . . . n n x n! As you can see above if n = 1 then a1 = 1 x 1! If n = 2 then a2 = 2 x 2! If n = 3 then a3 = 3 x 3! If n = 4 then a4 = 4 x 4! . . . @ Therefore the nth term of this sequence is an = n x n! Part 2 Let Sn = a1 + ... + an Investigate Sn for different values of n. n an Sn 1 1x1! = 1 a1 = 1 2 2x2! = 4 a1+a2 = 5 3 3x3! =18 a1+a2+a3 =23 4 4x4! =96 a1+a2+a3+a4 =...

Get instant access

• Instant, unlimited access to our documents in full
• Swap your work for free access, or pay £4.99
• To see the full version of this document and 150,044 others