![]() Therefore, a convergent geometric series 24 is an infinite geometric series where \(|r| < 1\) its sum can be calculated using the formula:īegin by identifying the repeating digits to the right of the decimal and rewrite it as a geometric progression. Geometric Sequence And Series Worksheet By adminPosted on April 22, 2023FebruGeometric Sequence And Series Worksheet The resources obtainable on Therapist Aid don’t exchange therapy, and are intended for use by qualified professionals. For example, the sequence \(2, 4, 8, 16, 32\), … is a geometric sequence with a common ratio of \(2\).\cdot1\) Geometric Sequences Example 1: Given the first term and the common ratio of a geometric sequence find the first five terms of the sequence. ( 5) 1 1 0.8 ( 1) 0.8, First Five Terms: Math Processing Error 0. For the following exercises, find the specified term for the geometric sequence, given the first term and common ratio. ![]() ( 5) n 1 If Math Processing Error n 1 then: Math Processing Error x 1 0.8. For the following exercises, write the first five terms of the geometric sequence, given any two terms. Answers: 1a) arithmetic d 6 b) neither c) geometric r 7 d) geometric r 0.5 or r e) arithmetic d 15 f) geometric r -3 2a) a -10 d6 t n 6n-16 b) a 10 d-2 t n -2n 12 c) a 36 d-5 t n - 5n 41 3. u1 Find the nth term or the geometric sequence with giver first term a and a common ratio r. ![]() Find the first five terms of the sequence. Begin by finding the common ratio, r 6 3 2. Day 2 Sequences
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