Sequences and Series Geometric series..

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Presentation transcript:

Sequences and Series Geometric series.

Find the sum of the first 5 terms of a geometric sequence 2, 6, 18,… We can simply add the terms 2 + 6+ 18 + 54 + 162 = 242 We can find the general term and use GDC sum(seq We can also use the formula for the sum of a geometric series.

Geometric Series page 3 in formula booklet Example 1: A geometric sequence has the form State the common ratio for this sequence, Calculate the sum of the first 10 terms of this sequence. to 3 s.f.

Example 2: For the geometric sequence 3, 6, 12, … Example 2: For the geometric sequence 3, 6, 12, …. find how many terms must be added together to obtain a sum of 3069. Use numerical solve on your GDC n = 10

Exercise 8.2.1 Qns 1 c, d, f , 2 b, 3, 4, 5, 6, 7, 11 Exercise 8.2.2 Qns 2 d, e, 3 d, e, 4a, c, e, 5, 6, 10, 11, 12, 16