14. A basketball tossed vertically upwards reaches a maximum height and then falls to the floor. Assume that we have an “ideal" basketball which rebounds to exactly 0.8 of its previous height. Let a, be the height after the n-th bounce, with the initial height being 4 metres. (a) Find both a recursive definition and an explicit formula for the sequence {an}. (Hint: Start by writing out the first four or five terms of the sequence.) (b) What is the height after the 10th bounce? (You may use a calculator!) (c) Make a conjecture about the limit of the sequence.

Q: Find the sum of the first 6 terms of the sequence defined by an = -4 (2)^-¹ for n ≥ 1. -

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Q: Write down the sequence whose nth term is (i) 2"/n and (ii) [3+ (-1)"]/3".

A: The main object is to write sequence for given nth term.

Q: 8. Give the first five terms of the following recursively defined sequence: a1 = 2. and ar = ax-1 +…

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Q: Please solve (a)

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Q: Determine the nth term of the sequence. Where applicable, use the '^' sign for exponents. For…

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Q: Write down the sequence whose nth term is (i) 2"/n and (ii) [3+ (-1)"]/3".

A:

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A: Construct the 5th term in sequence based on recursive definition. Show how you derive each term…

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Q: solve the following rational equations

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Q: Write the first five terms of each sequence. Determine whether each sequence is arithmetic,…

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Q: Write down the sequence whose nth term is (i) 2"/n and (ii) [3+ (-1)"]/3".

A:

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Q: A sequence {an} is called monotonic, if it is neither increasing nor decreasing. Select one: O True…

A: False.

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