VI. (1 + 3)3¹ + (2 + 3)3² + (3+3)3³ + ... + (n + 3)3^n =3/4[3^n(2n+5)-5]
Use mathematical induction to :
1. Prove that 6 is a factor of n(n + 1)(12 + 2)
2. Show that 24 1 - 1 is divisible by 15
3. Prove that 3^n- 2n is divisible by 4

Can't gugys answer the ratio question. this is urgent the plans of a building is drawn toward scale of 1: 1000. kfc the foyer on the plans measures 62mm by 54mm, how large is the foyer in real life?

Anyone know? is appreciated! will mark brainliest if correct!

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y > 2x + 3y is less than negative 3 over 2 times x minus 4part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points)part b: is the point (â’4, 6) included in the solution area for the system? justify your answer mathematically. (4 points)