{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

1.3 Arithmetic Sequences

1.3 Arithmetic Sequences - Arithmetic Sequences Arithmetic...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Arithmetic Sequences Arithmetic Sequences Section 1.3 Arithmetic sequence – a sequence in which the difference between each term and the preceding term is always constant { 14, 10, 6, 2, ____, ____,…} {3, 5, 8, 12, ___, ___,…} In an arithmetic sequence { un } un = un −1 + d for some constant d and all n > 2. In an arithmetic sequence with { un } common difference d, un = u1 + (n − 1)d for every n > 1 Summation Notation Summation Notation m ∑c k =1 k = c1 + c2 + c3 + ... + cm Partial Sums of an Arithmetic Partial Sums of an Arithmetic Sequence { un } If is an arithmetic sequence with common difference d, then for each positive integer k, the kth partial sum can be found by using either of the following formulas. k k 1. ∑ un = ( u1 + un ) 2 n =1 k (k − 1) 2. ∑ un = ku1 + d 2 n =1 k Joke Time Joke Time What is an insect that’s not feeling well? Secant (sick ant) Who was a famous person that Who was a famous person that was not very healthy? “I sick” Newton ...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online