QUESTION 1 1.1 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 sequence. NOTE: If the sequence is given by: a; b; c; ... the Difference (D) = b² - axc Use FIVE different linear sequences with a common difference, d of 1 and calculate the Difference, D as stated above. Step 1 ⚫ Write down your conjecture in words. (3) Step 2 Repeat Step 1: change the common difference, d between the terms to 2. Step 3 Repeat Step 1: change the common difference, d between the terms to 3. Step 4 (2) (3) (3) Repeat Step 1: change the common difference, d between the terms to a number of your choice (NOT 1, 2 or 3). Step 5 (3) Write down your conjecture in words. Step 6 (2) • Is this true in general? Prove your conjecture !!! Step 7 (4) Overall presentation and variety of sequences used. (10) [30] ​