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152 Chapter 7. Series 7.1 Investigating Series In this activity, you will experiment with some infinite sequences and their lProblems Repeat the activity, this time starting with the following sequence as (bn: 2 1 2 3 6 9 12 15 18 21 4 68 10 12 144. Compute the limit of {bn} as n → oo and the limit of {an } as n in 2. oo. Compare these with the limits you found

152 Chapter 7. Series 7.1 Investigating Series In this activity, you will experiment with some infinite sequences and their limits. Starting with a given sequence of numbers, {bi, b2. . . .], you will construct a new sequence {ai, a2. . . .} as follows: an b-b-1
Problems Repeat the activity, this time starting with the following sequence as (bn: 2 1 2 3 6 9 12 15 18 21 4 68' 10 12 14' 16
4. Compute the limit of {bn} as n → oo and the limit of {an } as n in 2. oo. Compare these with the limits you found
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I S 6 2(m+1 3m 4 m (tt 3 2mmH) 2.

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152 Chapter 7. Series 7.1 Investigating Series In this activity, you will experiment with some infinite sequences and their limits. Starting with a given sequence of numbers, {bi, b2. . . .], you wil...
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