1. John wants to fence a 150 square meters rectangular field. He wants the length and width to be natural numbers {1,2,3,...}. What field dimensions will require the least amount of fencing?

2. List the terms that complete a possible pattern in each of the following, and classify each sequence as arithmetic, geometric, or neither:
(a) 38, 33, 28, 23, 18, ____, ____, ____
(b) 640, 320, 160, 80, ____, ____, ____

3. Find the following sum: 6 + 8 + 10 + 12 + ... + 100.

4. A special rubber ball is dropped from a height of 128 meters. Each time the ball bounces to half of its previous height. After 1 bounce the ball reaches a height of 64 meters.
(a) How high did the ball reach after the 7th bounce?
(b) How high does the ball reach after the nth bounce?

5. Use 3 and 4 as the first two terms of a Fibonacci-type sequence.
Find the next five terms:
3, 4, _______, _______, _______, _______, _______

6. Solve the following equations for x.
(a) 3x + 5 = 23
(b) 6(x - 8) = 2x + 12

... depending on ) such that |an - |am < for all n, m >= M. (1) * Show that the sequences ( 1/n) and (n + 1/2n) and Cauchy sequences, but the sequence (n) is not. ...

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... This is the most common of all question sequences for all types of interviews. In this sequence, the interviewer begins with broad, open-ended questions and ...

Sequences and Series. 1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any 2 terms? ...

This is a Java program that tests the user's ability to memorize a sequence of colors. ... Try to memorize following color sequence: [color list]". ...

Real Analysis : Convergent Sequences and Limits. Prove the sequence defined by a1 = 0, a2=1 and a(n+2)= (a(n+1)+a(n))/2 for n>=0, converges and find the limit. ...

... to the dog genome, for all aligning sequences (red) and for ancestral repeat sequence, for the 197 known or putative development regulators (indicated sequence...

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