Wednesday August 14, 2013

1. WednesdayAugust 14, 2013 Write an explicit and recursive formula for the following sequence. 2, 4, 6, 8, 10, …

2. Standard • MM4A9. Students will use sequences and series. • c. Find and apply the sums of finite and, where appropriate, infinite arithmetic and geometric series.d. Use summation notation to explore finite series.

3. Essential Questions • I can use sigma notation to determine finite series. • I can find the partial sums of a finite sequence.

4. Finding the sum of a series • Can do it the old fashioned way, like yesterday. • or… • use Gauss’s solution

5. Gauss’s Solution • Formula used to determine the sum of all terms in a sequence. • Sn = n(a1 + an) / 2 • First n even integers, an = 2n • First n odd integers, an = 2n-1

9. Quiz