1. Series
Ch. 13

2. Series
A series is an indicated sum of the terms of a sequence. Finite sequence: 2, 4, 6, 8 Finite series: = 20 Infinite sequence: 2, 4, 6, 8, 10, ….. Infinite series: …

3. Sn
Sn indicates the sum of the first n terms of the series. S12 means to add up the first 12 terms of the series. S100 means to add up the first 100 terms of the series.

4. Sum of a Finite Arithmetic Series
Find the sum of the first 50 terms of the arithmetic series ….

5. Sum of a Finite Geometric Series
Find the sum of the first ten terms of 2 – – 54 + …..

6. Problems Find S10 of the arithmetic series if: t1 = 3 and t10 = -206.

7. Problems #2 1. Find S10 if 1 + .5 + .25 + .125 + …..
2. Find Sn if, a1 = -3, an = , r = 4

8. Problems #3 Find the number of terms in the arithmetic series if:
t1 = 7, tn = -91, Sn = -2100
Find the number of term in the geometric series if:
a1 = 6, r = -2, Sn = -8190