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Sequences and Series Geometric series.
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Find the sum of the first 5 terms of a geometric sequence 2, 6, 18,…
We can simply add the terms = 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.
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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.
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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
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Exercise Qns 1 c, d, f , 2 b, 3, 4, 5, 6, 7, 11 Exercise Qns 2 d, e, 3 d, e, 4a, c, e, 5, 6, 10, 11, 12, 16
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