Questions from General Calculus


Q: Use a graph of the sequence to decide whether the sequence is

Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the sequence is convergent, guess the value of the limit from the graph and then prove your guess. (See the ma...

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Q: Use a graph of the sequence to decide whether the sequence is

Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the sequence is convergent, guess the value of the limit from the graph and then prove your guess. (See the ma...

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Q: Use a graph of the sequence to decide whether the sequence is

Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the sequence is convergent, guess the value of the limit from the graph and then prove your guess. (See the ma...

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Q: (a) Determine whether the sequence defined as follows is convergent

(a) Determine whether the sequence defined as follows is convergent or divergent: (b) What happens if the first term is a1 = 2?

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Q: If $1000 is invested at 6% interest, compounded annually

If $1000 is invested at 6% interest, compounded annually, then after n years the investment is worth an = 1000(1.06)n dollars. (a) Find the first five terms of the sequence /. (b) Is the sequence conv...

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Q: If you deposit $100 at the end of every month into

If you deposit $100 at the end of every month into an account that pays 3% interest per year compounded monthly, the amount of interest accumulated after n months is given by the sequence...

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Q: Test the series for convergence or divergence. /

Test the series for convergence or divergence.

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Q: A fish farmer has 5000 catfish in his pond. The number

A fish farmer has 5000 catfish in his pond. The number of catfish increases by 8% per month and the farmer harvests 300 catfish per month. (a) that the catfish population Pn after n months is given re...

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Q: Find the first 40 terms of the sequence defined by /

Find the first 40 terms of the sequence defined by and a1 = 11. Do the same if a1 = 25. Make a conjecture about this type of sequence.

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Q: Determine whether the sequence is increasing, decreasing, or not monotonic

Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?

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