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Geometric Series When the terms of a geometric sequence are added, the result is a geometric series The sequence 3, 6, 12, 24, 48…gives rise to the series.

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Presentation on theme: "Geometric Series When the terms of a geometric sequence are added, the result is a geometric series The sequence 3, 6, 12, 24, 48…gives rise to the series."— Presentation transcript:

1 Geometric Series When the terms of a geometric sequence are added, the result is a geometric series The sequence 3, 6, 12, 24, 48…gives rise to the series ……… The sum of the first n terms of a geometric progression is: a(1 - rn )   1 – r

2 Example Sum the series 2+4+8+16+….. to 9 terms Sn = a(1 - rn ) 1 – r

3 Question The second term of a geometric sequence is and the sum of the first two terms is -15. Find the first term and the common ratio. You need to find two equations, and then solve using simultaneous equations.

4 Questions Sum the following series to the number of terms indicated
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