required complete explaination with diagram

Part 1: The sequence below was created using linking cubes and then drawn using Mathigon Polypad. Using the materials listed (p.1), build or draw the next structure in the sequence. Take a picture of your model / drawing and include it in your assignment submission. NOTE: The back of the structure (that you cannot see) is solid, so there are some cubes that you cannot see in the drawing or in your model. For example, there are 4 cubes in the structure with 2 layers; there are 10 cubes in the structure with 3 layers. 1. Using the sequence above, address each of the following: For the structure with five layers, determine: I. The number of cubes with FIVE exposed faces II. The number of cubes with FOUR exposed faces III. The total number of cubes in the structure IV. Determine another pattern in the sequence NOTE: Count the cube faces 'at the bottom' and 'back' of the structure as EXPOSED. 2. If the sequence was extended beyond five layers, make a conjecture for each of the following four patterns (I. - IV.). Your conjectures must extend beyond WHAT to include a justification addressing WHY your conjectures are true. Include worded descriptions and diagrams. Re-read Chapters 4 \& 5 in Mason, Burton, \& Stacey (2010) if you are stuck. I. The number of cubes with FIVE exposed faces II. The number of cubes with FOUR exposed faces III. The total number of cubes in the structure IV. The pattern you determined in the sequence 3. Using your conjectures about the sequence, create an algebraic equation for each of the four patterns (I. - IV.). Explain and label each component for each of the four algebraic equations using words and diagrams. Remember to use mathematical language in your explanations and to focus on the images/models not just the numeric patterns