Series Ch. 13.

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Presentation transcript:

Series Ch. 13

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

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.

Sum of a Finite Arithmetic Series Find the sum of the first 50 terms of the arithmetic series 11 + 14 + 17 + 20+ ….

Sum of a Finite Geometric Series Find the sum of the first ten terms of 2 – 6 + 18 – 54 + …..

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

Problems #2 1. Find S10 if 1 + .5 + .25 + .125 + ….. 2. Find Sn if, a1 = -3, an = -786432, r = 4

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