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does the infinite geometric series diverge or converge 2 6 18 54

does the infinite geometric series diverge or converge 2 6 18 54

Each term in a sequence can be referred to by it s place in the sequence, i.e. first Divergent. The terms keep growing. Convergent. The terms converge on a single . a1 2. a2 2(3) 6. a3 2(3)2 18. a4 2(3)3 54. and so on . an a1 (3)n-1 . is a geometric sequence and then the sum of the infinite sequence is  Find the values of x for which the geometric series converges. 4) 2 (3x 1)n 9) Find the sum of the series 2 12) For what value of I does the infinite series 12).

does the infinite geometric series diverge or converge 2+6+18+54. 1 Examples of Geometric Series 2 Introduction to Geometric Series 3 General Expression for a 6 The Kock Snowflake .. As the sum gets bigger and bigger, we can say that it is a divergent series. Therefore in the limit as tends to infinity we say the sum does not converge and the limit doesn t exist. When does the sum of the terms of a geometric sequence increase but never exceed a . 6 − 2 4. 18 − 6 12. 54 − 18 36. 2 Are the differences constant The differences are 2 Do the values diverge, converge or oscillate The graph  2 Write the Terms of a Sequence Defined by a Recursive Formula (p. 933) The sequence . 2, 6, 18, 54, 162, . . . 6 18 S4. IS geometric smce the ratio of successwe terms 1s 3 . If a series does not converge, it is called a divergent series. DO. If Irl infinite geometric series 2 alrk 1 converges. Its sum is k 1. Alg 2 Review 11.1-11.5. Describe the Write an explicit formula for the sequence 7, 2, � 3, � 8, � 13, . 6. 14, 21, 42, 77, 7. Find the missing term of the arithmetic sequence 22,. , 34,. Use summation notation to write the series 49 54 59 for 14 terms. 15. Does the infinite geometric series diverge or converge 2, 6, 18, Write the explicit formula for the geometric sequence. Then find the fifth term in the Does the infinite geometric series diverge or converge Explain. For example, the sequence 2, 6, 18, 54, is a geometric progression with 2.2 Related formulas 2.3 Infinite geometric series 2.4 Complex numbers Positive, the terms will all be the same sign as the initial term. Such a series converges if and only if the absolute value of the common ratio is less . Divergent series.



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