Question Investigate the relationship between the Common difference,d and the Difference(D) between, (the product of the first and the third terms) and (the square of the middle term) of any three consecutive numbers of a linear sequences. NOTE: If the sequence is given by: a;b;c;... the Difference (D) = b^2 - a*c - Use FIVE different linear sequences with a common difference, d of 1 and calculate the Difference, D as stated above. Step 1 (3 marks) - Write down your conclusion in words. Step 2 (2 marks) - Repeat Step 1: change the common difference, d between the terms to 2. Step 3 ( 3 marks) - Repeat Step 1: change the common difference, d between the terms to 3. Step 4 (3 marks) - Repeat Step 1: change the common difference, d between the terms to 4. Step 5 (3 marks) - Write your conclusion in words. Step 6 (2 marks) - Is this true in general? Prove your conjecture!!! Step 7 (4 marks) Overall Presentation and variety of sequences used. (rubric) (10 marks)
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SOURCE: kyocera fs 1030d: first sequence: 1.led:green
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SOURCE: how do you solve a problem using a sequence with thsis cal... for
You must first find the rule of the sequence. In this case it is quite simple: If U_n is the general term then
With the last relation you should be able to deduce the 40th term or any term for that matter. I leave that for you to do.
SOURCE: Compare the terms of the
Compare the terms of the product of the square of binomial and the terms of the product of the sum and difference of two terms. What statements can you make?
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