Conv_Div_GST_TelescopSeriesHW2020_2021 (1).pdf - AP Calculus BC HW \u2013 Convergence\/Divergence of a Series Name Geometric Series and Telescoping Series

Conv_Div_GST_TelescopSeriesHW2020_2021 (1).pdf - AP...

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2020_2021 AP Calculus BC Name___________________ HW Convergence/Divergence of a Series Geometric Series and Telescoping Series Tests 1-20-21 In problems 1 3, find the first five terms of the sequence of partial sums. 1. 1 + ¼ + 1/9 + 1/16 + 1/25 + … 2. 3 9/2 + 27/4 81/8 + 243/16 - 3. 3 2 𝑛−1 1 Verify that the infinite series diverges: 4. 3( 3 2 ) 𝑛 0 5. 1000(1.055) 𝑛 0 Verify that the infinite series converges: 6. 1 𝑛(𝑛+2) 1 7. 2( 3 4 ) 𝑛 0 8. (0.9) 𝑛 = 1 + 0.9 +

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